(x-2)2=(x+2)*(x-2)+8

Solution for (x-2)2=(x+2)*(x-2)+8 equation:

Simplifying
(x + -2) * 2 = (x + 2)(x + -2) + 8

Reorder the terms:
(-2 + x) * 2 = (x + 2)(x + -2) + 8

Reorder the terms for easier multiplication:
2(-2 + x) = (x + 2)(x + -2) + 8
(-2 * 2 + x * 2) = (x + 2)(x + -2) + 8
(-4 + 2x) = (x + 2)(x + -2) + 8

Reorder the terms:
-4 + 2x = (2 + x)(x + -2) + 8

Reorder the terms:
-4 + 2x = (2 + x)(-2 + x) + 8

Multiply (2 + x) * (-2 + x)
-4 + 2x = (2(-2 + x) + x(-2 + x)) + 8
-4 + 2x = ((-2 * 2 + x * 2) + x(-2 + x)) + 8
-4 + 2x = ((-4 + 2x) + x(-2 + x)) + 8
-4 + 2x = (-4 + 2x + (-2 * x + x * x)) + 8
-4 + 2x = (-4 + 2x + (-2x + x2)) + 8

Combine like terms: 2x + -2x = 0
-4 + 2x = (-4 + 0 + x2) + 8
-4 + 2x = (-4 + x2) + 8

Reorder the terms:
-4 + 2x = -4 + 8 + x2

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

Solving
-4 + 2x = 4 + x2

Solving for variable 'x'.

Reorder the terms:
-4 + -4 + 2x + -1x2 = 4 + x2 + -4 + -1x2

Combine like terms: -4 + -4 = -8
-8 + 2x + -1x2 = 4 + x2 + -4 + -1x2

Reorder the terms:
-8 + 2x + -1x2 = 4 + -4 + x2 + -1x2

Combine like terms: 4 + -4 = 0
-8 + 2x + -1x2 = 0 + x2 + -1x2
-8 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + 2x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
8 + -2x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -2x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -2x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2x + x2 = 0 + -8
-2x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-2x + x2 = -8

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -8 + 1

Reorder the terms:
1 + -2x + x2 = -8 + 1

Combine like terms: -8 + 1 = -7
1 + -2x + x2 = -7

Factor a perfect square on the left side:
(x + -1)(x + -1) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.