2p^3q^3+13p^2q^2-24pq=

Solution for 2p^3q^3+13p^2q^2-24pq= equation:

Simplifying
2p3q3 + 13p2q2 + -24pq = 0

Reorder the terms:
-24pq + 13p2q2 + 2p3q3 = 0

Solving
-24pq + 13p2q2 + 2p3q3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'pq'.
pq(-24 + 13pq + 2p2q2) = 0

Factor a trinomial.
pq((-8 + -1pq)(3 + -2pq)) = 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 '(-8 + -1pq)' equal to zero and attempt to solve:

Simplifying
-8 + -1pq = 0

Solving
-8 + -1pq = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1pq = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1pq = 0 + 8
-1pq = 0 + 8

Combine like terms: 0 + 8 = 8
-1pq = 8

Divide each side by '-1q'.
p = -8q-1

Simplifying
p = -8q-1
Subproblem 3
Set the factor '(3 + -2pq)' equal to zero and attempt to solve:

Simplifying
3 + -2pq = 0

Solving
3 + -2pq = 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 + -2pq = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2pq = 0 + -3
-2pq = 0 + -3

Combine like terms: 0 + -3 = -3
-2pq = -3

Divide each side by '-2q'.
p = 1.5q-1

Simplifying
p = 1.5q-1
Solution
p = {-8q-1, 1.5q-1}