36=(2x+2)(2x+2)

Solution for 36=(2x+2)(2x+2) equation:

Simplifying
36 = (2x + 2)(2x + 2)

Reorder the terms:
36 = (2 + 2x)(2x + 2)

Reorder the terms:
36 = (2 + 2x)(2 + 2x)

Multiply (2 + 2x) * (2 + 2x)
36 = (2(2 + 2x) + 2x * (2 + 2x))
36 = ((2 * 2 + 2x * 2) + 2x * (2 + 2x))
36 = ((4 + 4x) + 2x * (2 + 2x))
36 = (4 + 4x + (2 * 2x + 2x * 2x))
36 = (4 + 4x + (4x + 4x2))

Combine like terms: 4x + 4x = 8x
36 = (4 + 8x + 4x2)

Solving
36 = 4 + 8x + 4x2

Solving for variable 'x'.

Combine like terms: 36 + -4 = 32
32 + -8x + -4x2 = 4 + 8x + 4x2 + -4 + -8x + -4x2

Reorder the terms:
32 + -8x + -4x2 = 4 + -4 + 8x + -8x + 4x2 + -4x2

Combine like terms: 4 + -4 = 0
32 + -8x + -4x2 = 0 + 8x + -8x + 4x2 + -4x2
32 + -8x + -4x2 = 8x + -8x + 4x2 + -4x2

Combine like terms: 8x + -8x = 0
32 + -8x + -4x2 = 0 + 4x2 + -4x2
32 + -8x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
32 + -8x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + -2x + -1x2) = 0

Factor a trinomial.
4((2 + -1x)(4 + x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

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

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

Simplifying
x = -4
Solution
x = {2, -4}