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

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

Simplifying
x + -2(x + -2 + x + 2) = x2

Reorder the terms:
x + -2(-2 + 2 + x + x) = x2

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

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

Remove parenthesis around (2x)
x + -2 * 2x = x2

Multiply -2 * 2
x + -4x = x2

Combine like terms: x + -4x = -3x
-3x = x2

Solving
-3x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
-3x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(3 + x) = 0

Ignore the factor -1.
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
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {0, -3}