6p^2-6p-132=-12

Solution for 6p^2-6p-132=-12 equation:

Simplifying
6p2 + -6p + -132 = -12

Reorder the terms:
-132 + -6p + 6p2 = -12

Solving
-132 + -6p + 6p2 = -12

Solving for variable 'p'.

Reorder the terms:
-132 + 12 + -6p + 6p2 = -12 + 12

Combine like terms: -132 + 12 = -120
-120 + -6p + 6p2 = -12 + 12

Combine like terms: -12 + 12 = 0
-120 + -6p + 6p2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-20 + -1p + p2) = 0

Factor a trinomial.
6((-4 + -1p)(5 + -1p)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-4 + -1p)' equal to zero and attempt to solve:

Simplifying
-4 + -1p = 0

Solving
-4 + -1p = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1p = 0 + 4

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

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

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

Simplifying
p = -4
Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve:

Simplifying
5 + -1p = 0

Solving
5 + -1p = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1p = 0 + -5
-1p = 0 + -5

Combine like terms: 0 + -5 = -5
-1p = -5

Divide each side by '-1'.
p = 5

Simplifying
p = 5
Solution
p = {-4, 5}