p(15p+8)=12

Solution for p(15p+8)=12 equation:

Simplifying
p(15p + 8) = 12

Reorder the terms:
p(8 + 15p) = 12
(8 * p + 15p * p) = 12
(8p + 15p2) = 12

Solving
8p + 15p2 = 12

Solving for variable 'p'.

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

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

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

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

Simplifying
-6 + -5p = 0

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

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

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

Divide each side by '-5'.
p = -1.2

Simplifying
p = -1.2
Subproblem 2
Set the factor '(2 + -3p)' equal to zero and attempt to solve:

Simplifying
2 + -3p = 0

Solving
2 + -3p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3p = 0 + -2

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

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

Divide each side by '-3'.
p = 0.6666666667

Simplifying
p = 0.6666666667
Solution
p = {-1.2, 0.6666666667}