3p^2+p-12=2p^2

Solution for 3p^2+p-12=2p^2 equation:

Simplifying
3p2 + p + -12 = 2p2

Reorder the terms:
-12 + p + 3p2 = 2p2

Solving
-12 + p + 3p2 = 2p2

Solving for variable 'p'.

Combine like terms: 3p2 + -2p2 = 1p2
-12 + p + 1p2 = 2p2 + -2p2

Combine like terms: 2p2 + -2p2 = 0
-12 + p + 1p2 = 0

Factor a trinomial.
(-4 + -1p)(3 + -1p) = 0

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 '(3 + -1p)' equal to zero and attempt to solve:

Simplifying
3 + -1p = 0

Solving
3 + -1p = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1p = 0 + -3
-1p = 0 + -3

Combine like terms: 0 + -3 = -3
-1p = -3

Divide each side by '-1'.
p = 3

Simplifying
p = 3
Solution
p = {-4, 3}