20p^2q+24pq-16pq^2=

Solution for 20p^2q+24pq-16pq^2= equation:

Simplifying
20p2q + 24pq + -16pq2 = 0

Reorder the terms:
24pq + -16pq2 + 20p2q = 0

Solving
24pq + -16pq2 + 20p2q = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4pq'.
4pq(6 + -4q + 5p) = 0

Ignore the factor 4.
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 '(6 + -4q + 5p)' equal to zero and attempt to solve:

Simplifying
6 + -4q + 5p = 0

Reorder the terms:
6 + 5p + -4q = 0

Solving
6 + 5p + -4q = 0

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

Add '-6' to each side of the equation.
6 + 5p + -6 + -4q = 0 + -6

Reorder the terms:
6 + -6 + 5p + -4q = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5p + -4q = 0 + -6
5p + -4q = 0 + -6

Combine like terms: 0 + -6 = -6
5p + -4q = -6

Add '4q' to each side of the equation.
5p + -4q + 4q = -6 + 4q

Combine like terms: -4q + 4q = 0
5p + 0 = -6 + 4q
5p = -6 + 4q

Divide each side by '5'.
p = -1.2 + 0.8q

Simplifying
p = -1.2 + 0.8q
Solution
p = {-1.2 + 0.8q}