(-5u^3v^4+9u)+(-5u^3v^4-8u+8u^2v^2)+(-8u^4v^2+8u^3v^4)=0

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Solution for (-5u^3v^4+9u)+(-5u^3v^4-8u+8u^2v^2)+(-8u^4v^2+8u^3v^4)=0 equation: 


Simplifying
(-5u3v4 + 9u) + (-5u3v4 + -8u + 8u2v2) + (-8u4v2 + 8u3v4) = 0

Reorder the terms:
(9u + -5u3v4) + (-5u3v4 + -8u + 8u2v2) + (-8u4v2 + 8u3v4) = 0

Remove parenthesis around (9u + -5u3v4)
9u + -5u3v4 + (-5u3v4 + -8u + 8u2v2) + (-8u4v2 + 8u3v4) = 0

Reorder the terms:
9u + -5u3v4 + (-8u + 8u2v2 + -5u3v4) + (-8u4v2 + 8u3v4) = 0

Remove parenthesis around (-8u + 8u2v2 + -5u3v4)
9u + -5u3v4 + -8u + 8u2v2 + -5u3v4 + (-8u4v2 + 8u3v4) = 0

Reorder the terms:
9u + -5u3v4 + -8u + 8u2v2 + -5u3v4 + (8u3v4 + -8u4v2) = 0

Remove parenthesis around (8u3v4 + -8u4v2)
9u + -5u3v4 + -8u + 8u2v2 + -5u3v4 + 8u3v4 + -8u4v2 = 0

Reorder the terms:
9u + -8u + 8u2v2 + -5u3v4 + -5u3v4 + 8u3v4 + -8u4v2 = 0

Combine like terms: 9u + -8u = 1u
1u + 8u2v2 + -5u3v4 + -5u3v4 + 8u3v4 + -8u4v2 = 0

Combine like terms: -5u3v4 + -5u3v4 = -10u3v4
1u + 8u2v2 + -10u3v4 + 8u3v4 + -8u4v2 = 0

Combine like terms: -10u3v4 + 8u3v4 = -2u3v4
1u + 8u2v2 + -2u3v4 + -8u4v2 = 0

Solving
1u + 8u2v2 + -2u3v4 + -8u4v2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(1 + 8uv2 + -2u2v4 + -8u3v2) = 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 '(1 + 8uv2 + -2u2v4 + -8u3v2)' equal to zero and attempt to solve:

Simplifying
1 + 8uv2 + -2u2v4 + -8u3v2 = 0

Solving
1 + 8uv2 + -2u2v4 + -8u3v2 = 0

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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