81uv^3+3u^4=

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Solution for 81uv^3+3u^4= 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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