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

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


Simplifying
81p3q + -64pq3 = 0

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

Solving
-64pq3 + 81p3q = 0

Solving for variable 'p'.

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

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

Simplifying
8q + 9p = 0

Reorder the terms:
9p + 8q = 0

Solving
9p + 8q = 0

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

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

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

Divide each side by '9'.
p = -0.8888888889q

Simplifying
p = -0.8888888889q

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

Simplifying
-8q + 9p = 0

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

Solving
9p + -8q = 0

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

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

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

Divide each side by '9'.
p = 0.8888888889q

Simplifying
p = 0.8888888889q
Solution
p = {-0.8888888889q, 0.8888888889q}

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