12p^2+36p-81=0

Solution for 12p^2+36p-81=0 equation:

Simplifying
12p2 + 36p + -81 = 0

Reorder the terms:
-81 + 36p + 12p2 = 0

Solving
-81 + 36p + 12p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-27 + 12p + 4p2) = 0

Factor a trinomial.
3((-9 + -2p)(3 + -2p)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-9 + -2p)' equal to zero and attempt to solve:

Simplifying
-9 + -2p = 0

Solving
-9 + -2p = 0

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

Add '9' to each side of the equation.
-9 + 9 + -2p = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2p = 0 + 9
-2p = 0 + 9

Combine like terms: 0 + 9 = 9
-2p = 9

Divide each side by '-2'.
p = -4.5

Simplifying
p = -4.5
Subproblem 2
Set the factor '(3 + -2p)' equal to zero and attempt to solve:

Simplifying
3 + -2p = 0

Solving
3 + -2p = 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 + -2p = 0 + -3

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

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

Divide each side by '-2'.
p = 1.5

Simplifying
p = 1.5
Solution
p = {-4.5, 1.5}