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- Equation:
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Equation x/4+x=-5
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Equation x^4-13x^2+36=0
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Equation 2x^2-5x+2=0
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Equation x^4=(2x-3)^2
- Express {x} in terms of y where:
- -19*x-6*y=2
- 7*x-2*y=18
- 18*x+19*y=7
- 8*x-13*y=-12
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Identical expressions
- - fifteen /(fourteen *x*ln(two))= two hundred and twenty-five /(fourteen *(fourteen -15x)*ln(two))
- minus 15 divide by (14 multiply by x multiply by ln(2)) equally 225 divide by (14 multiply by (14 minus 15x) multiply by ln(2))
- minus fifteen divide by (fourteen multiply by x multiply by ln(two)) equally two hundred and twenty minus five divide by (fourteen multiply by (fourteen minus 15x) multiply by ln(two))
- -15/(14xln(2))=225/(14(14-15x)ln(2))
- -15/14xln2=225/1414-15xln2
- -15 divide by (14*x*ln(2))=225 divide by (14*(14-15x)*ln(2))
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Similar expressions
- 15/(14*x*ln(2))=225/(14*(14-15x)*ln(2))
- -15/(14*x*ln(2))=225/(14*(14+15x)*ln(2))
-15/(14*x*ln(2))=225/(14*(14-15x)*ln(2)) equation
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The solution
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-15 225 ----------- = --------------------- 14*x*log(2) 14*(14 - 15*x)*log(2)
$$- \frac{15}{14 x \log{\left(2 \right)}} = \frac{225}{14 \left(14 - 15 x\right) \log{\left(2 \right)}}$$
Detail solution
Given the equation:
$$- \frac{15}{14 x \log{\left(2 \right)}} = \frac{225}{14 \left(14 - 15 x\right) \log{\left(2 \right)}}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
so we get the equation
$$\left(196 - 210 x\right) \left(- \frac{15}{14 \log{\left(2 \right)}}\right) = x \frac{225}{\log{\left(2 \right)}}$$
$$- \frac{15 \left(196 - 210 x\right)}{14 \log{\left(2 \right)}} = \frac{225 x}{\log{\left(2 \right)}}$$
Expand brackets in the left part
Expand brackets in the right part
This equation has no roots
$$- \frac{15}{14 x \log{\left(2 \right)}} = \frac{225}{14 \left(14 - 15 x\right) \log{\left(2 \right)}}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = -15/(14*log(2))
b1 = x
a2 = 225/log(2)
b2 = 196 - 210*x
so we get the equation
$$\left(196 - 210 x\right) \left(- \frac{15}{14 \log{\left(2 \right)}}\right) = x \frac{225}{\log{\left(2 \right)}}$$
$$- \frac{15 \left(196 - 210 x\right)}{14 \log{\left(2 \right)}} = \frac{225 x}{\log{\left(2 \right)}}$$
Expand brackets in the left part
-15*196-15*210*x14*log+2) = 225*x/log(2)
Expand brackets in the right part
-15*196-15*210*x14*log+2) = 225*x/log2
This equation has no roots