4p^2+4p=120

Solution for 4p^2+4p=120 equation:

Simplifying
4p2 + 4p = 120

Reorder the terms:
4p + 4p2 = 120

Solving
4p + 4p2 = 120

Solving for variable 'p'.

Reorder the terms:
-120 + 4p + 4p2 = 120 + -120

Combine like terms: 120 + -120 = 0
-120 + 4p + 4p2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-30 + p + p2) = 0

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

Ignore the factor 4.
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 '(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 = {-6, 5}