3u^2v-4uv^2+6vu^2-4v^2u+5u^2=

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Solution for 3u^2v-4uv^2+6vu^2-4v^2u+5u^2= equation: 


Simplifying
3u2v + -4uv2 + 6vu2 + -4v2u + 5u2 = 0

Reorder the terms:
-4uv2 + -4uv2 + 5u2 + 3u2v + 6u2v = 0

Combine like terms: -4uv2 + -4uv2 = -8uv2
-8uv2 + 5u2 + 3u2v + 6u2v = 0

Combine like terms: 3u2v + 6u2v = 9u2v
-8uv2 + 5u2 + 9u2v = 0

Solving
-8uv2 + 5u2 + 9u2v = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(-8v2 + 5u + 9uv) = 0


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 '(-8v2 + 5u + 9uv)' equal to zero and attempt to solve:

Simplifying
-8v2 + 5u + 9uv = 0

Reorder the terms:
5u + 9uv + -8v2 = 0

Solving
5u + 9uv + -8v2 = 0

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

Add '8v2' to each side of the equation.
5u + 9uv + -8v2 + 8v2 = 0 + 8v2

Combine like terms: -8v2 + 8v2 = 0
5u + 9uv + 0 = 0 + 8v2
5u + 9uv = 0 + 8v2
Remove the zero:
5u + 9uv = 8v2

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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