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(x+2)^2=(1-x)^2

(x+2)^2=(1-x)^2 equation

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Numerical solution:

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The solution

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       2          2
(x + 2)  = (1 - x) 
$$\left(x + 2\right)^{2} = \left(1 - x\right)^{2}$$
Detail solution
Given the equation:
(x+2)^2 = (1-x)^2

Expand expressions:
4 + x^2 + 4*x = (1-x)^2

(x+2)^2 = 1 + x^2 - 2*x

Reducing, you get:
3 + 6*x = 0

Move free summands (without x)
from left part to right part, we given:
$$6 x = -3$$
Divide both parts of the equation by 6
x = -3 / (6)

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