8p^2+2p-15=0

Solution for 8p^2+2p-15=0 equation:

Simplifying
8p2 + 2p + -15 = 0

Reorder the terms:
-15 + 2p + 8p2 = 0

Solving
-15 + 2p + 8p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-3 + -2p)(5 + -4p) = 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 + -4p)' equal to zero and attempt to solve:

Simplifying
5 + -4p = 0

Solving
5 + -4p = 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 + -4p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4p = 0 + -5
-4p = 0 + -5

Combine like terms: 0 + -5 = -5
-4p = -5

Divide each side by '-4'.
p = 1.25

Simplifying
p = 1.25
Solution
p = {-1.5, 1.25}