8p^2-15=-37p

Solution for 8p^2-15=-37p equation:

Simplifying
8p2 + -15 = -37p

Reorder the terms:
-15 + 8p2 = -37p

Solving
-15 + 8p2 = -37p

Solving for variable 'p'.

Reorder the terms:
-15 + 37p + 8p2 = -37p + 37p

Combine like terms: -37p + 37p = 0
-15 + 37p + 8p2 = 0

Factor a trinomial.
(-5 + -1p)(3 + -8p) = 0

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

Simplifying
-5 + -1p = 0

Solving
-5 + -1p = 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 + -1p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1p = 0 + 5
-1p = 0 + 5

Combine like terms: 0 + 5 = 5
-1p = 5

Divide each side by '-1'.
p = -5

Simplifying
p = -5
Subproblem 2
Set the factor '(3 + -8p)' equal to zero and attempt to solve:

Simplifying
3 + -8p = 0

Solving
3 + -8p = 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 + -8p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8p = 0 + -3
-8p = 0 + -3

Combine like terms: 0 + -3 = -3
-8p = -3

Divide each side by '-8'.
p = 0.375

Simplifying
p = 0.375
Solution
p = {-5, 0.375}