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(x+10)^2=(x-9)^2

(x+10)^2=(x-9)^2 equation

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Numerical solution:

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The solution

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        2          2
(x + 10)  = (x - 9) 
$$\left(x + 10\right)^{2} = \left(x - 9\right)^{2}$$
Detail solution
Given the equation:
(x+10)^2 = (x-9)^2

Expand expressions:
100 + x^2 + 20*x = (x-9)^2

(x+10)^2 = 81 + x^2 - 18*x

Reducing, you get:
19 + 38*x = 0

Move free summands (without x)
from left part to right part, we given:
$$38 x = -19$$
Divide both parts of the equation by 38
x = -19 / (38)

We get the answer: x = -1/2
The graph
Sum and product of roots [src]
sum
-1/2
$$- \frac{1}{2}$$
=
-1/2
$$- \frac{1}{2}$$
product
-1/2
$$- \frac{1}{2}$$
=
-1/2
$$- \frac{1}{2}$$
-1/2
Rapid solution [src]
x1 = -1/2
$$x_{1} = - \frac{1}{2}$$
x1 = -1/2
Numerical answer [src]
x1 = -0.5
x1 = -0.5
The graph
(x+10)^2=(x-9)^2 equation