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

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


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

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

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

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

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

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

Reorder the terms:
4 + -4 + -4x + 1x2 = 4 + 4x + -4 + x2

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

Reorder the terms:
-4x + 1x2 = 4 + -4 + 4x + x2

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

Solving
-4x + 1x2 = 4x + x2

Solving for variable 'x'.

Reorder the terms:
-4x + -4x + 1x2 + -1x2 = 4x + x2 + -4x + -1x2

Combine like terms: -4x + -4x = -8x
-8x + 1x2 + -1x2 = 4x + x2 + -4x + -1x2

Combine like terms: 1x2 + -1x2 = 0
-8x + 0 = 4x + x2 + -4x + -1x2
-8x = 4x + x2 + -4x + -1x2

Reorder the terms:
-8x = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
-8x = 0 + x2 + -1x2
-8x = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8x = 0

Ignore the factor -8.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Solution
x = {0}

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