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(7-x)^2=(x+16)^2

(7-x)^2=(x+16)^2 equation

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Numerical solution:

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The solution

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       2           2
(7 - x)  = (x + 16) 
$$\left(7 - x\right)^{2} = \left(x + 16\right)^{2}$$
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
The graph
Rapid solution [src]
x1 = -9/2
$$x_{1} = - \frac{9}{2}$$
x1 = -9/2
Sum and product of roots [src]
sum
-9/2
$$- \frac{9}{2}$$
=
-9/2
$$- \frac{9}{2}$$
product
-9/2
$$- \frac{9}{2}$$
=
-9/2
$$- \frac{9}{2}$$
-9/2
Numerical answer [src]
x1 = -4.5
x1 = -4.5
The graph
(7-x)^2=(x+16)^2 equation