30p^2-66p=-36

Solution for 30p^2-66p=-36 equation:

Simplifying
30p2 + -66p = -36

Reorder the terms:
-66p + 30p2 = -36

Solving
-66p + 30p2 = -36

Solving for variable 'p'.

Reorder the terms:
36 + -66p + 30p2 = -36 + 36

Combine like terms: -36 + 36 = 0
36 + -66p + 30p2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(6 + -11p + 5p2) = 0

Factor a trinomial.
6((1 + -1p)(6 + -5p)) = 0

Ignore the factor 6.
Subproblem 1
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
Subproblem 2
Set the factor '(6 + -5p)' equal to zero and attempt to solve:

Simplifying
6 + -5p = 0

Solving
6 + -5p = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5p = 0 + -6
-5p = 0 + -6

Combine like terms: 0 + -6 = -6
-5p = -6

Divide each side by '-5'.
p = 1.2

Simplifying
p = 1.2
Solution
p = {1, 1.2}