81p^2-36p-45=0

Solution for 81p^2-36p-45=0 equation:

Simplifying
81p2 + -36p + -45 = 0

Reorder the terms:
-45 + -36p + 81p2 = 0

Solving
-45 + -36p + 81p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-5 + -4p + 9p2) = 0

Factor a trinomial.
9((-5 + -9p)(1 + -1p)) = 0

Ignore the factor 9.
Subproblem 1
Set the factor '(-5 + -9p)' equal to zero and attempt to solve:

Simplifying
-5 + -9p = 0

Solving
-5 + -9p = 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 + -9p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -9p = 0 + 5
-9p = 0 + 5

Combine like terms: 0 + 5 = 5
-9p = 5

Divide each side by '-9'.
p = -0.5555555556

Simplifying
p = -0.5555555556
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying
1 + -1p = 0

Solving
1 + -1p = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1p = 0 + -1

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

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

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

Simplifying
p = 1
Solution
p = {-0.5555555556, 1}