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

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


Simplifying
(x + 2)(x + -2) + -1(x + -2) * 2 = 0

Reorder the terms:
(2 + x)(x + -2) + -1(x + -2) * 2 = 0

Reorder the terms:
(2 + x)(-2 + x) + -1(x + -2) * 2 = 0

Multiply (2 + x) * (-2 + x)
(2(-2 + x) + x(-2 + x)) + -1(x + -2) * 2 = 0
((-2 * 2 + x * 2) + x(-2 + x)) + -1(x + -2) * 2 = 0
((-4 + 2x) + x(-2 + x)) + -1(x + -2) * 2 = 0
(-4 + 2x + (-2 * x + x * x)) + -1(x + -2) * 2 = 0
(-4 + 2x + (-2x + x2)) + -1(x + -2) * 2 = 0

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

Reorder the terms:
-4 + x2 + -1(-2 + x) * 2 = 0

Reorder the terms for easier multiplication:
-4 + x2 + -1 * 2(-2 + x) = 0

Multiply -1 * 2
-4 + x2 + -2(-2 + x) = 0
-4 + x2 + (-2 * -2 + x * -2) = 0
-4 + x2 + (4 + -2x) = 0

Reorder the terms:
-4 + 4 + -2x + x2 = 0

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

Solving
-2x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + x) = 0


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 '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

Add '2' to each side of the equation.
-2 + 2 + x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x = 0 + 2
x = 0 + 2

Combine like terms: 0 + 2 = 2
x = 2

Simplifying
x = 2
Solution
x = {0, 2}

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