2(x+2)(x+2)=0

Solution for 2(x+2)(x+2)=0 equation:

Simplifying
2(x + 2)(x + 2) = 0

Reorder the terms:
2(2 + x)(x + 2) = 0

Reorder the terms:
2(2 + x)(2 + x) = 0

Multiply (2 + x) * (2 + x)
2(2(2 + x) + x(2 + x)) = 0
2((2 * 2 + x * 2) + x(2 + x)) = 0
2((4 + 2x) + x(2 + x)) = 0
2(4 + 2x + (2 * x + x * x)) = 0
2(4 + 2x + (2x + x2)) = 0

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

Solving
8 + 8x + 2x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 2.
Subproblem 1
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
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 = {-2, -2}