(2x+2)*(2x+2)=4

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Solution for (2x+2)*(2x+2)=4 equation: 


Simplifying
(2x + 2)(2x + 2) = 4

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

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

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

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

Add '-4' to each side of the equation.
4 + 8x + -4 + 4x2 = 4 + -4

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

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

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

Solving
8x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(2 + x) = 0

Ignore the factor 4.

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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