12p^2+8p=15

Solution for 12p^2+8p=15 equation:

Simplifying
12p2 + 8p = 15

Reorder the terms:
8p + 12p2 = 15

Solving
8p + 12p2 = 15

Solving for variable 'p'.

Reorder the terms:
-15 + 8p + 12p2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + 8p + 12p2 = 0

Factor a trinomial.
(-3 + -2p)(5 + -6p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + -6p)' equal to zero and attempt to solve:

Simplifying
5 + -6p = 0

Solving
5 + -6p = 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 + -6p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6p = 0 + -5
-6p = 0 + -5

Combine like terms: 0 + -5 = -5
-6p = -5

Divide each side by '-6'.
p = 0.8333333333

Simplifying
p = 0.8333333333
Solution
p = {-1.5, 0.8333333333}