3p^2-3p=126

Solution for 3p^2-3p=126 equation:

Simplifying
3p2 + -3p = 126

Reorder the terms:
-3p + 3p2 = 126

Solving
-3p + 3p2 = 126

Solving for variable 'p'.

Reorder the terms:
-126 + -3p + 3p2 = 126 + -126

Combine like terms: 126 + -126 = 0
-126 + -3p + 3p2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-42 + -1p + p2) = 0

Factor a trinomial.
3((-6 + -1p)(7 + -1p)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-6 + -1p)' equal to zero and attempt to solve:

Simplifying
-6 + -1p = 0

Solving
-6 + -1p = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1p = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1p = 0 + 6
-1p = 0 + 6

Combine like terms: 0 + 6 = 6
-1p = 6

Divide each side by '-1'.
p = -6

Simplifying
p = -6
Subproblem 2
Set the factor '(7 + -1p)' equal to zero and attempt to solve:

Simplifying
7 + -1p = 0

Solving
7 + -1p = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1p = 0 + -7
-1p = 0 + -7

Combine like terms: 0 + -7 = -7
-1p = -7

Divide each side by '-1'.
p = 7

Simplifying
p = 7
Solution
p = {-6, 7}