(x+2)(x-2)=(2+x)(2-x)

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Solution for (x+2)(x-2)=(2+x)(2-x) equation: 


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

Reorder the terms:
(2 + x)(x + -2) = (2 + x)(2 + -1x)

Reorder the terms:
(2 + x)(-2 + x) = (2 + x)(2 + -1x)

Multiply (2 + x) * (-2 + x)
(2(-2 + x) + x(-2 + x)) = (2 + x)(2 + -1x)
((-2 * 2 + x * 2) + x(-2 + x)) = (2 + x)(2 + -1x)
((-4 + 2x) + x(-2 + x)) = (2 + x)(2 + -1x)
(-4 + 2x + (-2 * x + x * x)) = (2 + x)(2 + -1x)
(-4 + 2x + (-2x + x2)) = (2 + x)(2 + -1x)

Combine like terms: 2x + -2x = 0
(-4 + 0 + x2) = (2 + x)(2 + -1x)
(-4 + x2) = (2 + x)(2 + -1x)

Multiply (2 + x) * (2 + -1x)
-4 + x2 = (2(2 + -1x) + x(2 + -1x))
-4 + x2 = ((2 * 2 + -1x * 2) + x(2 + -1x))
-4 + x2 = ((4 + -2x) + x(2 + -1x))
-4 + x2 = (4 + -2x + (2 * x + -1x * x))
-4 + x2 = (4 + -2x + (2x + -1x2))

Combine like terms: -2x + 2x = 0
-4 + x2 = (4 + 0 + -1x2)
-4 + x2 = (4 + -1x2)

Solving
-4 + x2 = 4 + -1x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x2' to each side of the equation.
-4 + x2 + x2 = 4 + -1x2 + x2

Combine like terms: x2 + x2 = 2x2
-4 + 2x2 = 4 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-4 + 2x2 = 4 + 0
-4 + 2x2 = 4

Add '4' to each side of the equation.
-4 + 4 + 2x2 = 4 + 4

Combine like terms: -4 + 4 = 0
0 + 2x2 = 4 + 4
2x2 = 4 + 4

Combine like terms: 4 + 4 = 8
2x2 = 8

Divide each side by '2'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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