pq(3p+2q-5)=

Solution for pq(3p+2q-5)= equation:

Simplifying
pq(3p + 2q + -5) = 0

Reorder the terms:
pq(-5 + 3p + 2q) = 0
(-5 * pq + 3p * pq + 2q * pq) = 0

Reorder the terms:
(-5pq + 2pq2 + 3p2q) = 0
(-5pq + 2pq2 + 3p2q) = 0

Solving
-5pq + 2pq2 + 3p2q = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'pq'.
pq(-5 + 2q + 3p) = 0

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 + 2q + 3p)' equal to zero and attempt to solve:

Simplifying
-5 + 2q + 3p = 0

Reorder the terms:
-5 + 3p + 2q = 0

Solving
-5 + 3p + 2q = 0

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

Add '5' to each side of the equation.
-5 + 3p + 5 + 2q = 0 + 5

Reorder the terms:
-5 + 5 + 3p + 2q = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3p + 2q = 0 + 5
3p + 2q = 0 + 5

Combine like terms: 0 + 5 = 5
3p + 2q = 5

Add '-2q' to each side of the equation.
3p + 2q + -2q = 5 + -2q

Combine like terms: 2q + -2q = 0
3p + 0 = 5 + -2q
3p = 5 + -2q

Divide each side by '3'.
p = 1.666666667 + -0.6666666667q

Simplifying
p = 1.666666667 + -0.6666666667q
Solution
p = {1.666666667 + -0.6666666667q}