3(x^2+12x+36)-2=10

Solution for 3(x^2+12x+36)-2=10 equation:

Simplifying
3(x2 + 12x + 36) + -2 = 10

Reorder the terms:
3(36 + 12x + x2) + -2 = 10
(36 * 3 + 12x * 3 + x2 * 3) + -2 = 10
(108 + 36x + 3x2) + -2 = 10

Reorder the terms:
108 + -2 + 36x + 3x2 = 10

Combine like terms: 108 + -2 = 106
106 + 36x + 3x2 = 10

Solving
106 + 36x + 3x2 = 10

Solving for variable 'x'.

Reorder the terms:
106 + -10 + 36x + 3x2 = 10 + -10

Combine like terms: 106 + -10 = 96
96 + 36x + 3x2 = 10 + -10

Combine like terms: 10 + -10 = 0
96 + 36x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(32 + 12x + x2) = 0

Factor a trinomial.
3((8 + x)(4 + x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-8, -4}