(-9p+-18)(-5p+30)=

Solution for (-9p+-18)(-5p+30)= equation:

Simplifying
(-9p + -18)(-5p + 30) = 0

Reorder the terms:
(-18 + -9p)(-5p + 30) = 0

Reorder the terms:
(-18 + -9p)(30 + -5p) = 0

Multiply (-18 + -9p) * (30 + -5p)
(-18(30 + -5p) + -9p * (30 + -5p)) = 0
((30 * -18 + -5p * -18) + -9p * (30 + -5p)) = 0
((-540 + 90p) + -9p * (30 + -5p)) = 0
(-540 + 90p + (30 * -9p + -5p * -9p)) = 0
(-540 + 90p + (-270p + 45p2)) = 0

Combine like terms: 90p + -270p = -180p
(-540 + -180p + 45p2) = 0

Solving
-540 + -180p + 45p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '45'.
45(-12 + -4p + p2) = 0

Factor a trinomial.
45((-2 + -1p)(6 + -1p)) = 0

Ignore the factor 45.
Subproblem 1
Set the factor '(-2 + -1p)' equal to zero and attempt to solve:

Simplifying
-2 + -1p = 0

Solving
-2 + -1p = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1p = 0 + 2
-1p = 0 + 2

Combine like terms: 0 + 2 = 2
-1p = 2

Divide each side by '-1'.
p = -2

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

Simplifying
6 + -1p = 0

Solving
6 + -1p = 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 + -1p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = 0 + -6
-1p = 0 + -6

Combine like terms: 0 + -6 = -6
-1p = -6

Divide each side by '-1'.
p = 6

Simplifying
p = 6
Solution
p = {-2, 6}