9pq(5+3pq)=

Solution for 9pq(5+3pq)= equation:

Simplifying
9pq(5 + 3pq) = 0
(5 * 9pq + 3pq * 9pq) = 0
(45pq + 27p2q2) = 0

Solving
45pq + 27p2q2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '9pq'.
9pq(5 + 3pq) = 0

Ignore the factor 9.
Subproblem 1
Set the factor 'pq' equal to zero and attempt to solve:

Simplifying
pq = 0

Solving
pq = 0

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

Simplifying
pq = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(5 + 3pq)' equal to zero and attempt to solve:

Simplifying
5 + 3pq = 0

Solving
5 + 3pq = 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 + 3pq = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3pq = 0 + -5
3pq = 0 + -5

Combine like terms: 0 + -5 = -5
3pq = -5

Divide each side by '3q'.
p = -1.666666667q-1

Simplifying
p = -1.666666667q-1
Solution
p = {-1.666666667q-1}