3(x+3)(x+3)=27

Solution for 3(x+3)(x+3)=27 equation:

Simplifying
3(x + 3)(x + 3) = 27

Reorder the terms:
3(3 + x)(x + 3) = 27

Reorder the terms:
3(3 + x)(3 + x) = 27

Multiply (3 + x) * (3 + x)
3(3(3 + x) + x(3 + x)) = 27
3((3 * 3 + x * 3) + x(3 + x)) = 27
3((9 + 3x) + x(3 + x)) = 27
3(9 + 3x + (3 * x + x * x)) = 27
3(9 + 3x + (3x + x2)) = 27

Combine like terms: 3x + 3x = 6x
3(9 + 6x + x2) = 27
(9 * 3 + 6x * 3 + x2 * 3) = 27
(27 + 18x + 3x2) = 27

Add '-27' to each side of the equation.
27 + 18x + -27 + 3x2 = 27 + -27

Reorder the terms:
27 + -27 + 18x + 3x2 = 27 + -27

Combine like terms: 27 + -27 = 0
0 + 18x + 3x2 = 27 + -27
18x + 3x2 = 27 + -27

Combine like terms: 27 + -27 = 0
18x + 3x2 = 0

Solving
18x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(6 + x) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
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
Solution
x = {0, -6}