8p^2+5p-57=0

Solution for 8p^2+5p-57=0 equation:

Simplifying
8p2 + 5p + -57 = 0

Reorder the terms:
-57 + 5p + 8p2 = 0

Solving
-57 + 5p + 8p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-3 + -1p)(19 + -8p) = 0

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

Simplifying
-3 + -1p = 0

Solving
-3 + -1p = 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 + -1p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1p = 0 + 3
-1p = 0 + 3

Combine like terms: 0 + 3 = 3
-1p = 3

Divide each side by '-1'.
p = -3

Simplifying
p = -3
Subproblem 2
Set the factor '(19 + -8p)' equal to zero and attempt to solve:

Simplifying
19 + -8p = 0

Solving
19 + -8p = 0

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

Add '-19' to each side of the equation.
19 + -19 + -8p = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -8p = 0 + -19
-8p = 0 + -19

Combine like terms: 0 + -19 = -19
-8p = -19

Divide each side by '-8'.
p = 2.375

Simplifying
p = 2.375
Solution
p = {-3, 2.375}