(7-x)^2=(x+16)^2 equation
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The solution
Detail solution
Given the equation:
(7-x)^2 = (x+16)^2
Expand expressions:
49 + x^2 - 14*x = (x+16)^2
(7-x)^2 = 256 + x^2 + 32*x
Reducing, you get:
-207 - 46*x = 0
Move free summands (without x)
from left part to right part, we given:
$$- 46 x = 207$$
Divide both parts of the equation by -46
x = 207 / (-46)
We get the answer: x = -9/2
$$x_{1} = - \frac{9}{2}$$
Sum and product of roots
[src]
$$- \frac{9}{2}$$
$$- \frac{9}{2}$$
$$- \frac{9}{2}$$
$$- \frac{9}{2}$$