81uv^3+3u^4=0

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Solution for 81uv^3+3u^4=0 equation: 


Simplifying
81uv3 + 3u4 = 0

Solving
81uv3 + 3u4 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3u'.
3u(27v3 + u3) = 0

Ignore the factor 3.

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

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0

Subproblem 2
Set the factor '(27v3 + u3)' equal to zero and attempt to solve:

Simplifying
27v3 + u3 = 0

Reorder the terms:
u3 + 27v3 = 0

Solving
u3 + 27v3 = 0

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

Add '-27v3' to each side of the equation.
u3 + 27v3 + -27v3 = 0 + -27v3

Combine like terms: 27v3 + -27v3 = 0
u3 + 0 = 0 + -27v3
u3 = 0 + -27v3
Remove the zero:
u3 = -27v3

Simplifying
u3 = -27v3

The solution to this equation could not be determined.

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

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