12p^2-7p-12=0

Solution for 12p^2-7p-12=0 equation:

Simplifying
12p2 + -7p + -12 = 0

Reorder the terms:
-12 + -7p + 12p2 = 0

Solving
-12 + -7p + 12p2 = 0

Solving for variable 'p'.

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

Subproblem 1
Set the factor '(-3 + -4p)' equal to zero and attempt to solve:

Simplifying
-3 + -4p = 0

Solving
-3 + -4p = 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 + -4p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4p = 0 + 3
-4p = 0 + 3

Combine like terms: 0 + 3 = 3
-4p = 3

Divide each side by '-4'.
p = -0.75

Simplifying
p = -0.75
Subproblem 2
Set the factor '(4 + -3p)' equal to zero and attempt to solve:

Simplifying
4 + -3p = 0

Solving
4 + -3p = 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 + -3p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3p = 0 + -4
-3p = 0 + -4

Combine like terms: 0 + -4 = -4
-3p = -4

Divide each side by '-3'.
p = 1.333333333

Simplifying
p = 1.333333333
Solution
p = {-0.75, 1.333333333}