64qp^3-25pq^3=0

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Solution for 64qp^3-25pq^3=0 equation: 


Simplifying
64qp3 + -25pq3 = 0

Reorder the terms:
-25pq3 + 64p3q = 0

Solving
-25pq3 + 64p3q = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'pq'.
pq(-25q2 + 64p2) = 0

Factor a difference between two squares.
pq((5q + 8p)(-5q + 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 '(5q + 8p)' equal to zero and attempt to solve:

Simplifying
5q + 8p = 0

Reorder the terms:
8p + 5q = 0

Solving
8p + 5q = 0

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

Add '-5q' to each side of the equation.
8p + 5q + -5q = 0 + -5q

Combine like terms: 5q + -5q = 0
8p + 0 = 0 + -5q
8p = 0 + -5q
Remove the zero:
8p = -5q

Divide each side by '8'.
p = -0.625q

Simplifying
p = -0.625q

Subproblem 3
Set the factor '(-5q + 8p)' equal to zero and attempt to solve:

Simplifying
-5q + 8p = 0

Reorder the terms:
8p + -5q = 0

Solving
8p + -5q = 0

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

Add '5q' to each side of the equation.
8p + -5q + 5q = 0 + 5q

Combine like terms: -5q + 5q = 0
8p + 0 = 0 + 5q
8p = 0 + 5q
Remove the zero:
8p = 5q

Divide each side by '8'.
p = 0.625q

Simplifying
p = 0.625q
Solution
p = {-0.625q, 0.625q}

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