0=6p(q-6)

Solution for 0=6p(q-6) equation:

Simplifying
0 = 6p(q + -6)

Reorder the terms:
0 = 6p(-6 + q)
0 = (-6 * 6p + q * 6p)
0 = (-36p + 6pq)

Solving
0 = -36p + 6pq

Solving for variable 'p'.

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

Add '36p' to each side of the equation.
0 + 36p = -36p + 36p + 6pq
Remove the zero:
36p = -36p + 36p + 6pq

Combine like terms: -36p + 36p = 0
36p = 0 + 6pq
36p = 6pq

Add '-6pq' to each side of the equation.
36p + -6pq = 6pq + -6pq

Combine like terms: 6pq + -6pq = 0
36p + -6pq = 0

Factor out the Greatest Common Factor (GCF), '6p'.
6p(6 + -1q) = 0

Ignore the factor 6.
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 '(6 + -1q)' equal to zero and attempt to solve:

Simplifying
6 + -1q = 0

Solving
6 + -1q = 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 + -1q = 0 + -6

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

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

Add 'q' to each side of the equation.
-1q + q = -6 + q

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

Simplifying
0 = -6 + q

The solution to this equation could not be determined.

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