2(x+4)(x+4)=8

Solution for 2(x+4)(x+4)=8 equation:

Simplifying
2(x + 4)(x + 4) = 8

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

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

Multiply (4 + x) * (4 + x)
2(4(4 + x) + x(4 + x)) = 8
2((4 * 4 + x * 4) + x(4 + x)) = 8
2((16 + 4x) + x(4 + x)) = 8
2(16 + 4x + (4 * x + x * x)) = 8
2(16 + 4x + (4x + x2)) = 8

Combine like terms: 4x + 4x = 8x
2(16 + 8x + x2) = 8
(16 * 2 + 8x * 2 + x2 * 2) = 8
(32 + 16x + 2x2) = 8

Solving
32 + 16x + 2x2 = 8

Solving for variable 'x'.

Reorder the terms:
32 + -8 + 16x + 2x2 = 8 + -8

Combine like terms: 32 + -8 = 24
24 + 16x + 2x2 = 8 + -8

Combine like terms: 8 + -8 = 0
24 + 16x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + 8x + x2) = 0

Factor a trinomial.
2((6 + x)(2 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
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 = {-6, -2}