27p^3-108pq^3=0

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Solution for 27p^3-108pq^3=0 equation: 


Simplifying
27p3 + -108pq3 = 0

Reorder the terms:
-108pq3 + 27p3 = 0

Solving
-108pq3 + 27p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '27p'.
27p(-4q3 + p2) = 0

Ignore the factor 27.

Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0

Subproblem 2
Set the factor '(-4q3 + p2)' equal to zero and attempt to solve:

Simplifying
-4q3 + p2 = 0

Reorder the terms:
p2 + -4q3 = 0

Solving
p2 + -4q3 = 0

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

Add '4q3' to each side of the equation.
p2 + -4q3 + 4q3 = 0 + 4q3

Combine like terms: -4q3 + 4q3 = 0
p2 + 0 = 0 + 4q3
p2 = 0 + 4q3
Remove the zero:
p2 = 4q3

Simplifying
p2 = 4q3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
p = {0}

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