64p^3q-81pq^3=0

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Solution for 64p^3q-81pq^3=0 equation: 


Simplifying
64p3q + -81pq3 = 0

Reorder the terms:
-81pq3 + 64p3q = 0

Solving
-81pq3 + 64p3q = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'pq'.
pq(-81q2 + 64p2) = 0

Factor a difference between two squares.
pq((9q + 8p)(-9q + 8p)) = 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 '(9q + 8p)' equal to zero and attempt to solve:

Simplifying
9q + 8p = 0

Reorder the terms:
8p + 9q = 0

Solving
8p + 9q = 0

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

Add '-9q' to each side of the equation.
8p + 9q + -9q = 0 + -9q

Combine like terms: 9q + -9q = 0
8p + 0 = 0 + -9q
8p = 0 + -9q
Remove the zero:
8p = -9q

Divide each side by '8'.
p = -1.125q

Simplifying
p = -1.125q

Subproblem 3
Set the factor '(-9q + 8p)' equal to zero and attempt to solve:

Simplifying
-9q + 8p = 0

Reorder the terms:
8p + -9q = 0

Solving
8p + -9q = 0

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

Add '9q' to each side of the equation.
8p + -9q + 9q = 0 + 9q

Combine like terms: -9q + 9q = 0
8p + 0 = 0 + 9q
8p = 0 + 9q
Remove the zero:
8p = 9q

Divide each side by '8'.
p = 1.125q

Simplifying
p = 1.125q
Solution
p = {-1.125q, 1.125q}

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