Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2=5
-
Equation 5x=0
-
Equation -6,32x=60,04
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Equation 0*x=10
- Express {x} in terms of y where:
- -4*x+3*y=9
- -2*x-19*y=-11
- -5*x+15*y=-15
- -1*x+7*y=-11
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Identical expressions
- fifteen (four -x)- ten . five x= eleven .5
- 15(4 minus x) minus 10.5x equally 11.5
- fifteen (four minus x) minus ten . five x equally eleven .5
- 154-x-10.5x=11.5
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Similar expressions
- 0.22=((((0.22+x))/((-2x+2.1))*((0.1+x))/((-2x+2.1))))/(((0.2-x))/((-2x+2.1))*(((1.58-3x))/((-2x+2.1)))^(3))
- 15(4+x)-10.5x=11.5
- 15(4-x)+10.5x=11.5
15(4-x)-10.5x=11.5 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
21*x
15*(4 - x) - ---- = 23/2
2
$$- \frac{21 x}{2} + 15 \left(4 - x\right) = \frac{23}{2}$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Looking for similar summands in the left part:
Move free summands (without x)
from left part to right part, we given:
$$- \frac{51 x}{2} = - \frac{97}{2}$$
Divide both parts of the equation by -51/2
We get the answer: x = 97/51
15*(4-x)-(21/2)*x = (23/2)
Expand brackets in the left part
15*4-15*x-21/2x = (23/2)
Expand brackets in the right part
15*4-15*x-21/2x = 23/2
Looking for similar summands in the left part:
60 - 51*x/2 = 23/2
Move free summands (without x)
from left part to right part, we given:
$$- \frac{51 x}{2} = - \frac{97}{2}$$
Divide both parts of the equation by -51/2
x = -97/2 / (-51/2)
We get the answer: x = 97/51
Sum and product of roots
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sum
97 -- 51
$$\frac{97}{51}$$
=
97 -- 51
$$\frac{97}{51}$$
product
97 -- 51
$$\frac{97}{51}$$
=
97 -- 51
$$\frac{97}{51}$$
97/51