0=(x+3)(x+3)

Solution for 0=(x+3)(x+3) equation:

Simplifying
0 = (x + 3)(x + 3)

Reorder the terms:
0 = (3 + x)(x + 3)

Reorder the terms:
0 = (3 + x)(3 + x)

Multiply (3 + x) * (3 + x)
0 = (3(3 + x) + x(3 + x))
0 = ((3 * 3 + x * 3) + x(3 + x))
0 = ((9 + 3x) + x(3 + x))
0 = (9 + 3x + (3 * x + x * x))
0 = (9 + 3x + (3x + x2))

Combine like terms: 3x + 3x = 6x
0 = (9 + 6x + x2)

Solving
0 = 9 + 6x + x2

Solving for variable 'x'.

Combine like terms: 0 + -9 = -9
-9 + -6x + -1x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Reorder the terms:
-9 + -6x + -1x2 = 9 + -9 + 6x + -6x + x2 + -1x2

Combine like terms: 9 + -9 = 0
-9 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
-9 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
-9 + -6x + -1x2 = 0 + x2 + -1x2
-9 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + -6x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 6x + x2) = 0

Factor a trinomial.
-1((3 + x)(3 + x)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-3, -3}