(x+10)²=(5-x)² equation
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The solution
Detail solution
Given the equation:
(x+10)^2 = (5-x)^2
Expand expressions:
100 + x^2 + 20*x = (5-x)^2
(x+10)^2 = 25 + x^2 - 10*x
Reducing, you get:
75 + 30*x = 0
Move free summands (without x)
from left part to right part, we given:
$$30 x = -75$$
Divide both parts of the equation by 30
x = -75 / (30)
We get the answer: x = -5/2
Sum and product of roots
[src]
$$- \frac{5}{2}$$
$$- \frac{5}{2}$$
$$- \frac{5}{2}$$
$$- \frac{5}{2}$$
$$x_{1} = - \frac{5}{2}$$