(9p)(3q-9)=0

Solution for (9p)(3q-9)=0 equation:

Simplifying
(9p)(3q + -9) = 0

Remove parenthesis around (9p)
9p(3q + -9) = 0

Reorder the terms:
9p(-9 + 3q) = 0
(-9 * 9p + 3q * 9p) = 0
(-81p + 27pq) = 0

Solving
-81p + 27pq = 0

Solving for variable 'p'.

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

Factor out the Greatest Common Factor (GCF), '27p'.
27p(-3 + q) = 0

Ignore the factor 27.
Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0
Subproblem 2
Set the factor '(-3 + q)' equal to zero and attempt to solve:

Simplifying
-3 + q = 0

Solving
-3 + q = 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 + q = 0 + 3

Combine like terms: -3 + 3 = 0
0 + q = 0 + 3
q = 0 + 3

Combine like terms: 0 + 3 = 3
q = 3

Add '-1q' to each side of the equation.
q + -1q = 3 + -1q

Combine like terms: q + -1q = 0
0 = 3 + -1q

Simplifying
0 = 3 + -1q

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
p = {0}