32p^2-60p-27=0

Solution for 32p^2-60p-27=0 equation:

Simplifying
32p2 + -60p + -27 = 0

Reorder the terms:
-27 + -60p + 32p2 = 0

Solving
-27 + -60p + 32p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-3 + -8p)(9 + -4p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(9 + -4p)' equal to zero and attempt to solve:

Simplifying
9 + -4p = 0

Solving
9 + -4p = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4p = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4p = 0 + -9
-4p = 0 + -9

Combine like terms: 0 + -9 = -9
-4p = -9

Divide each side by '-4'.
p = 2.25

Simplifying
p = 2.25
Solution
p = {-0.375, 2.25}