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Equation:
Equation x^2+11*x+30=0
Equation (-2-4t-1)²+(0+2t-1)²+(2+5t)²=9
Equation (|3*x-9|)-(|x+2|)=7
Equation k^2+3*k-4=0
Express {x} in terms of y where:
-14*x+13*y=7
-17*x-8*y=-8
12*x-15*y=0
-20*x-17*y=13
Identical expressions
two hundred *x+(- one hundred and fifty)* ten ^ three =(- eight hundred and thirty-one)*x*log(eight / three)/ one hundred
200 multiply by x plus ( minus 150) multiply by 10 cubed equally ( minus 831) multiply by x multiply by logarithm of (8 divide by 3) divide by 100
two hundred multiply by x plus ( minus one hundred and fifty) multiply by ten to the power of three equally ( minus eight hundred and thirty minus one) multiply by x multiply by logarithm of (eight divide by three) divide by one hundred
200*x+(-150)*103=(-831)*x*log(8/3)/100
200*x+-150*103=-831*x*log8/3/100
200*x+(-150)*10³=(-831)*x*log(8/3)/100
200*x+(-150)*10 to the power of 3=(-831)*x*log(8/3)/100
200x+(-150)10^3=(-831)xlog(8/3)/100
200x+(-150)103=(-831)xlog(8/3)/100
200x+-150103=-831xlog8/3/100
200x+-15010^3=-831xlog8/3/100
200*x+(-150)*10^3=(-831)*x*log(8 divide by 3) divide by 100
Similar expressions
200*x+(-150)*10^3=(831)*x*log(8/3)/100
200*x+(150)*10^3=(-831)*x*log(8/3)/100
200*x-(-150)*10^3=(-831)*x*log(8/3)/100

200x+(-150)10^3=(-831)xlog(8/3)/100 equation

The teacher will be very surprised to see your correct solution 😉

The solution

You have entered [src]

                 -831*x*log(8/3)
200*x - 150000 = ---------------
                       100

$$200 x - 150000 = \frac{- 831 x \log{\left(\frac{8}{3} \right)}}{100}$$

Simplify

Detail solution

Given the linear equation:

200*x+(-150)*10^3 = (-831)*x*log(8/3)/100

Expand brackets in the left part

200*x+-150*10^3 = (-831)*x*log(8/3)/100

Expand brackets in the right part

200*x+-150*10^3 = -831x*log8/3/100

Move free summands (without x)
from left part to right part, we given:
$$200 x = - \frac{831 x \log{\left(\frac{8}{3} \right)}}{100} + 150000$$
Divide both parts of the equation by 200

x = 150000 - 831*x*log(8/3)/100 / (200)

We get the answer: x = 15000000/(20000 + log(2936156433240634403776268898221769569279191810619208414504092498298685011705763347935411919942647221357050451168172326252415842901184513794155525866943595597380422213408098141771284503738993217442138508681418595160404290881074340468514836524548546633734334979248453511106444956267301010865481621588590117381035819543809897367051311864241012782501631854420585548154610847836142558128963987359626475721766483639607084008931593134363142281839406425260676209272316870231949887797863924822062794700798749933136453329576192589866691189694617332033752933565130858996636887045706576155670656767931872436504728795254317657271109749986080740229346263105230700644935670767714864967921936622869141177971486429315446984600330449111434358435876377642351036089761792/3074416286027101779862596955387263460563219127451624536120681795486946345252093266574692885879399739653946120680119399378361093367641872258642070774095780408790204950068518311714076472547523896210320753078638665835717646878000664828379609569783009336388301362222820928646715912036976919357025543019366886455750288411806554892680899025559552156147198596933106323480510293960146566185680431534955947))

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

                                                                                                                                                                                                                                                                                                                                                                                               15000000                                                                                                                                                                                                                                                                                                                                                                                          
x1 = --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                /2936156433240634403776268898221769569279191810619208414504092498298685011705763347935411919942647221357050451168172326252415842901184513794155525866943595597380422213408098141771284503738993217442138508681418595160404290881074340468514836524548546633734334979248453511106444956267301010865481621588590117381035819543809897367051311864241012782501631854420585548154610847836142558128963987359626475721766483639607084008931593134363142281839406425260676209272316870231949887797863924822062794700798749933136453329576192589866691189694617332033752933565130858996636887045706576155670656767931872436504728795254317657271109749986080740229346263105230700644935670767714864967921936622869141177971486429315446984600330449111434358435876377642351036089761792\
     20000 + log|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
                \                                                                                                                                                                                 3074416286027101779862596955387263460563219127451624536120681795486946345252093266574692885879399739653946120680119399378361093367641872258642070774095780408790204950068518311714076472547523896210320753078638665835717646878000664828379609569783009336388301362222820928646715912036976919357025543019366886455750288411806554892680899025559552156147198596933106323480510293960146566185680431534955947                                                                                                                                                                                 /

$$x_{1} = \frac{15000000}{\log{\left(\frac{2936156433240634403776268898221769569279191810619208414504092498298685011705763347935411919942647221357050451168172326252415842901184513794155525866943595597380422213408098141771284503738993217442138508681418595160404290881074340468514836524548546633734334979248453511106444956267301010865481621588590117381035819543809897367051311864241012782501631854420585548154610847836142558128963987359626475721766483639607084008931593134363142281839406425260676209272316870231949887797863924822062794700798749933136453329576192589866691189694617332033752933565130858996636887045706576155670656767931872436504728795254317657271109749986080740229346263105230700644935670767714864967921936622869141177971486429315446984600330449111434358435876377642351036089761792}{3074416286027101779862596955387263460563219127451624536120681795486946345252093266574692885879399739653946120680119399378361093367641872258642070774095780408790204950068518311714076472547523896210320753078638665835717646878000664828379609569783009336388301362222820928646715912036976919357025543019366886455750288411806554892680899025559552156147198596933106323480510293960146566185680431534955947} \right)} + 20000}$$

x1 = 15000000/(log(2936156433240634403776268898221769569279191810619208414504092498298685011705763347935411919942647221357050451168172326252415842901184513794155525866943595597380422213408098141771284503738993217442138508681418595160404290881074340468514836524548546633734334979248453511106444956267301010865481621588590117381035819543809897367051311864241012782501631854420585548154610847836142558128963987359626475721766483639607084008931593134363142281839406425260676209272316870231949887797863924822062794700798749933136453329576192589866691189694617332033752933565130858996636887045706576155670656767931872436504728795254317657271109749986080740229346263105230700644935670767714864967921936622869141177971486429315446984600330449111434358435876377642351036089761792/3074416286027101779862596955387263460563219127451624536120681795486946345252093266574692885879399739653946120680119399378361093367641872258642070774095780408790204950068518311714076472547523896210320753078638665835717646878000664828379609569783009336388301362222820928646715912036976919357025543019366886455750288411806554892680899025559552156147198596933106323480510293960146566185680431534955947) + 20000)

Sum and product of roots [src]

sum

                                                                                                                                                                                                                                                                                                                                                                                          15000000                                                                                                                                                                                                                                                                                                                                                                                          
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
           /2936156433240634403776268898221769569279191810619208414504092498298685011705763347935411919942647221357050451168172326252415842901184513794155525866943595597380422213408098141771284503738993217442138508681418595160404290881074340468514836524548546633734334979248453511106444956267301010865481621588590117381035819543809897367051311864241012782501631854420585548154610847836142558128963987359626475721766483639607084008931593134363142281839406425260676209272316870231949887797863924822062794700798749933136453329576192589866691189694617332033752933565130858996636887045706576155670656767931872436504728795254317657271109749986080740229346263105230700644935670767714864967921936622869141177971486429315446984600330449111434358435876377642351036089761792\
20000 + log|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
           \                                                                                                                                                                                 3074416286027101779862596955387263460563219127451624536120681795486946345252093266574692885879399739653946120680119399378361093367641872258642070774095780408790204950068518311714076472547523896210320753078638665835717646878000664828379609569783009336388301362222820928646715912036976919357025543019366886455750288411806554892680899025559552156147198596933106323480510293960146566185680431534955947                                                                                                                                                                                 /

$$\frac{15000000}{\log{\left(\frac{2936156433240634403776268898221769569279191810619208414504092498298685011705763347935411919942647221357050451168172326252415842901184513794155525866943595597380422213408098141771284503738993217442138508681418595160404290881074340468514836524548546633734334979248453511106444956267301010865481621588590117381035819543809897367051311864241012782501631854420585548154610847836142558128963987359626475721766483639607084008931593134363142281839406425260676209272316870231949887797863924822062794700798749933136453329576192589866691189694617332033752933565130858996636887045706576155670656767931872436504728795254317657271109749986080740229346263105230700644935670767714864967921936622869141177971486429315446984600330449111434358435876377642351036089761792}{3074416286027101779862596955387263460563219127451624536120681795486946345252093266574692885879399739653946120680119399378361093367641872258642070774095780408790204950068518311714076472547523896210320753078638665835717646878000664828379609569783009336388301362222820928646715912036976919357025543019366886455750288411806554892680899025559552156147198596933106323480510293960146566185680431534955947} \right)} + 20000}$$

                                                                                                                                                                                                                                                                                                                                                                                          15000000                                                                                                                                                                                                                                                                                                                                                                                          
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
           /2936156433240634403776268898221769569279191810619208414504092498298685011705763347935411919942647221357050451168172326252415842901184513794155525866943595597380422213408098141771284503738993217442138508681418595160404290881074340468514836524548546633734334979248453511106444956267301010865481621588590117381035819543809897367051311864241012782501631854420585548154610847836142558128963987359626475721766483639607084008931593134363142281839406425260676209272316870231949887797863924822062794700798749933136453329576192589866691189694617332033752933565130858996636887045706576155670656767931872436504728795254317657271109749986080740229346263105230700644935670767714864967921936622869141177971486429315446984600330449111434358435876377642351036089761792\
20000 + log|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
           \                                                                                                                                                                                 3074416286027101779862596955387263460563219127451624536120681795486946345252093266574692885879399739653946120680119399378361093367641872258642070774095780408790204950068518311714076472547523896210320753078638665835717646878000664828379609569783009336388301362222820928646715912036976919357025543019366886455750288411806554892680899025559552156147198596933106323480510293960146566185680431534955947                                                                                                                                                                                 /

product

                                                                                                                                                                                                                                                                                                                                                                                          15000000                                                                                                                                                                                                                                                                                                                                                                                          
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
           /2936156433240634403776268898221769569279191810619208414504092498298685011705763347935411919942647221357050451168172326252415842901184513794155525866943595597380422213408098141771284503738993217442138508681418595160404290881074340468514836524548546633734334979248453511106444956267301010865481621588590117381035819543809897367051311864241012782501631854420585548154610847836142558128963987359626475721766483639607084008931593134363142281839406425260676209272316870231949887797863924822062794700798749933136453329576192589866691189694617332033752933565130858996636887045706576155670656767931872436504728795254317657271109749986080740229346263105230700644935670767714864967921936622869141177971486429315446984600330449111434358435876377642351036089761792\
20000 + log|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
           \                                                                                                                                                                                 3074416286027101779862596955387263460563219127451624536120681795486946345252093266574692885879399739653946120680119399378361093367641872258642070774095780408790204950068518311714076472547523896210320753078638665835717646878000664828379609569783009336388301362222820928646715912036976919357025543019366886455750288411806554892680899025559552156147198596933106323480510293960146566185680431534955947                                                                                                                                                                                 /

                                                                                                                                                                                                                                                                                                                                                                                          15000000                                                                                                                                                                                                                                                                                                                                                                                          
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
           /2936156433240634403776268898221769569279191810619208414504092498298685011705763347935411919942647221357050451168172326252415842901184513794155525866943595597380422213408098141771284503738993217442138508681418595160404290881074340468514836524548546633734334979248453511106444956267301010865481621588590117381035819543809897367051311864241012782501631854420585548154610847836142558128963987359626475721766483639607084008931593134363142281839406425260676209272316870231949887797863924822062794700798749933136453329576192589866691189694617332033752933565130858996636887045706576155670656767931872436504728795254317657271109749986080740229346263105230700644935670767714864967921936622869141177971486429315446984600330449111434358435876377642351036089761792\
20000 + log|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
           \                                                                                                                                                                                 3074416286027101779862596955387263460563219127451624536120681795486946345252093266574692885879399739653946120680119399378361093367641872258642070774095780408790204950068518311714076472547523896210320753078638665835717646878000664828379609569783009336388301362222820928646715912036976919357025543019366886455750288411806554892680899025559552156147198596933106323480510293960146566185680431534955947                                                                                                                                                                                 /

15000000/(20000 + log(2936156433240634403776268898221769569279191810619208414504092498298685011705763347935411919942647221357050451168172326252415842901184513794155525866943595597380422213408098141771284503738993217442138508681418595160404290881074340468514836524548546633734334979248453511106444956267301010865481621588590117381035819543809897367051311864241012782501631854420585548154610847836142558128963987359626475721766483639607084008931593134363142281839406425260676209272316870231949887797863924822062794700798749933136453329576192589866691189694617332033752933565130858996636887045706576155670656767931872436504728795254317657271109749986080740229346263105230700644935670767714864967921936622869141177971486429315446984600330449111434358435876377642351036089761792/3074416286027101779862596955387263460563219127451624536120681795486946345252093266574692885879399739653946120680119399378361093367641872258642070774095780408790204950068518311714076472547523896210320753078638665835717646878000664828379609569783009336388301362222820928646715912036976919357025543019366886455750288411806554892680899025559552156147198596933106323480510293960146566185680431534955947))

Numerical answer [src]

x1 = 720.631765442094

x1 = 720.631765442094

Other calculators

How to use it?

Identical expressions

Similar expressions

200*x+(-150)*10^3=(-831)*x*log(8/3)/100 equation

Numerical solution:

The solution

200x+(-150)10^3=(-831)xlog(8/3)/100 equation