3p^2-96=-2p

Solution for 3p^2-96=-2p equation:

Simplifying
3p2 + -96 = -2p

Reorder the terms:
-96 + 3p2 = -2p

Solving
-96 + 3p2 = -2p

Solving for variable 'p'.

Reorder the terms:
-96 + 2p + 3p2 = -2p + 2p

Combine like terms: -2p + 2p = 0
-96 + 2p + 3p2 = 0

Factor a trinomial.
(-6 + -1p)(16 + -3p) = 0

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 '(16 + -3p)' equal to zero and attempt to solve:

Simplifying
16 + -3p = 0

Solving
16 + -3p = 0

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

Add '-16' to each side of the equation.
16 + -16 + -3p = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -3p = 0 + -16
-3p = 0 + -16

Combine like terms: 0 + -16 = -16
-3p = -16

Divide each side by '-3'.
p = 5.333333333

Simplifying
p = 5.333333333
Solution
p = {-6, 5.333333333}