-132=126p-6p^2

Solution for -132=126p-6p^2 equation:

Simplifying
-132 = 126p + -6p2

Solving
-132 = 126p + -6p2

Solving for variable 'p'.

Reorder the terms:
-132 + -126p + 6p2 = 126p + -126p + -6p2 + 6p2

Combine like terms: 126p + -126p = 0
-132 + -126p + 6p2 = 0 + -6p2 + 6p2
-132 + -126p + 6p2 = -6p2 + 6p2

Combine like terms: -6p2 + 6p2 = 0
-132 + -126p + 6p2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-22 + -21p + p2) = 0

Factor a trinomial.
6((-1 + -1p)(22 + -1p)) = 0

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

Simplifying
-1 + -1p = 0

Solving
-1 + -1p = 0

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

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

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

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

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

Simplifying
p = -1
Subproblem 2
Set the factor '(22 + -1p)' equal to zero and attempt to solve:

Simplifying
22 + -1p = 0

Solving
22 + -1p = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1p = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1p = 0 + -22
-1p = 0 + -22

Combine like terms: 0 + -22 = -22
-1p = -22

Divide each side by '-1'.
p = 22

Simplifying
p = 22
Solution
p = {-1, 22}