3x^2+36x-12=180

Solution for 3x^2+36x-12=180 equation:

Simplifying
3x2 + 36x + -12 = 180

Reorder the terms:
-12 + 36x + 3x2 = 180

Solving
-12 + 36x + 3x2 = 180

Solving for variable 'x'.

Reorder the terms:
-12 + -180 + 36x + 3x2 = 180 + -180

Combine like terms: -12 + -180 = -192
-192 + 36x + 3x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-192 + 36x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-64 + 12x + x2) = 0

Factor a trinomial.
3((-16 + -1x)(4 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-16, 4}