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

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


Simplifying
(-5u3v4 + 9u) + (-5u3 + -8u + 8u2v2) + (-8u4v2 + 8u3v4) = 0

Reorder the terms:
(9u + -5u3v4) + (-5u3 + -8u + 8u2v2) + (-8u4v2 + 8u3v4) = 0

Remove parenthesis around (9u + -5u3v4)
9u + -5u3v4 + (-5u3 + -8u + 8u2v2) + (-8u4v2 + 8u3v4) = 0

Reorder the terms:
9u + -5u3v4 + (-8u + 8u2v2 + -5u3) + (-8u4v2 + 8u3v4) = 0

Remove parenthesis around (-8u + 8u2v2 + -5u3)
9u + -5u3v4 + -8u + 8u2v2 + -5u3 + (-8u4v2 + 8u3v4) = 0

Reorder the terms:
9u + -5u3v4 + -8u + 8u2v2 + -5u3 + (8u3v4 + -8u4v2) = 0

Remove parenthesis around (8u3v4 + -8u4v2)
9u + -5u3v4 + -8u + 8u2v2 + -5u3 + 8u3v4 + -8u4v2 = 0

Reorder the terms:
9u + -8u + 8u2v2 + -5u3 + -5u3v4 + 8u3v4 + -8u4v2 = 0

Combine like terms: 9u + -8u = 1u
1u + 8u2v2 + -5u3 + -5u3v4 + 8u3v4 + -8u4v2 = 0

Combine like terms: -5u3v4 + 8u3v4 = 3u3v4
1u + 8u2v2 + -5u3 + 3u3v4 + -8u4v2 = 0

Solving
1u + 8u2v2 + -5u3 + 3u3v4 + -8u4v2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(1 + 8uv2 + -5u2 + 3u2v4 + -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 + -5u2 + 3u2v4 + -8u3v2)' equal to zero and attempt to solve: Simplifying 1 + 8uv2 + -5u2 + 3u2v4 + -8u3v2 = 0 Solving 1 + 8uv2 + -5u2 + 3u2v4 + -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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