(x-5)^2=(x+10)^2 equation
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The solution
Detail solution
Given the equation:
(x-5)^2 = (x+10)^2
Expand expressions:
25 + x^2 - 10*x = (x+10)^2
(x-5)^2 = 100 + x^2 + 20*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
$$x_{1} = - \frac{5}{2}$$
Sum and product of roots
[src]
$$- \frac{5}{2}$$
$$- \frac{5}{2}$$
$$- \frac{5}{2}$$
$$- \frac{5}{2}$$