2(x+3)(x+3)=8

Solution for 2(x+3)(x+3)=8 equation:

Simplifying
2(x + 3)(x + 3) = 8

Reorder the terms:
2(3 + x)(x + 3) = 8

Reorder the terms:
2(3 + x)(3 + x) = 8

Multiply (3 + x) * (3 + x)
2(3(3 + x) + x(3 + x)) = 8
2((3 * 3 + x * 3) + x(3 + x)) = 8
2((9 + 3x) + x(3 + x)) = 8
2(9 + 3x + (3 * x + x * x)) = 8
2(9 + 3x + (3x + x2)) = 8

Combine like terms: 3x + 3x = 6x
2(9 + 6x + x2) = 8
(9 * 2 + 6x * 2 + x2 * 2) = 8
(18 + 12x + 2x2) = 8

Solving
18 + 12x + 2x2 = 8

Solving for variable 'x'.

Reorder the terms:
18 + -8 + 12x + 2x2 = 8 + -8

Combine like terms: 18 + -8 = 10
10 + 12x + 2x2 = 8 + -8

Combine like terms: 8 + -8 = 0
10 + 12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 6x + x2) = 0

Factor a trinomial.
2((5 + x)(1 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {-5, -1}