36p^2-65p-36=0

Solution for 36p^2-65p-36=0 equation:

Simplifying
36p2 + -65p + -36 = 0

Reorder the terms:
-36 + -65p + 36p2 = 0

Solving
-36 + -65p + 36p2 = 0

Solving for variable 'p'.

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

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

Simplifying
-4 + -9p = 0

Solving
-4 + -9p = 0

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

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

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

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

Divide each side by '-9'.
p = -0.4444444444

Simplifying
p = -0.4444444444
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 = {-0.4444444444, 2.25}