16p^3q-81pq^3=0

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Solution for 16p^3q-81pq^3=0 equation: 


Simplifying
16p3q + -81pq3 = 0

Reorder the terms:
-81pq3 + 16p3q = 0

Solving
-81pq3 + 16p3q = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'pq'.
pq(-81q2 + 16p2) = 0

Factor a difference between two squares.
pq((9q + 4p)(-9q + 4p)) = 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 + 4p)' equal to zero and attempt to solve:

Simplifying
9q + 4p = 0

Reorder the terms:
4p + 9q = 0

Solving
4p + 9q = 0

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

Add '-9q' to each side of the equation.
4p + 9q + -9q = 0 + -9q

Combine like terms: 9q + -9q = 0
4p + 0 = 0 + -9q
4p = 0 + -9q
Remove the zero:
4p = -9q

Divide each side by '4'.
p = -2.25q

Simplifying
p = -2.25q

Subproblem 3
Set the factor '(-9q + 4p)' equal to zero and attempt to solve:

Simplifying
-9q + 4p = 0

Reorder the terms:
4p + -9q = 0

Solving
4p + -9q = 0

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

Add '9q' to each side of the equation.
4p + -9q + 9q = 0 + 9q

Combine like terms: -9q + 9q = 0
4p + 0 = 0 + 9q
4p = 0 + 9q
Remove the zero:
4p = 9q

Divide each side by '4'.
p = 2.25q

Simplifying
p = 2.25q
Solution
p = {-2.25q, 2.25q}

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