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

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


Simplifying
(9u5 + 3u2v4) = 0

Reorder the terms:
(3u2v4 + 9u5) = 0

Remove parenthesis around (3u2v4 + 9u5)
3u2v4 + 9u5 = 0

Solving
3u2v4 + 9u5 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3u2'.
3u2(v4 + 3u3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'u2' equal to zero and attempt to solve: Simplifying u2 = 0 Solving u2 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u2 = 0 Take the square root of each side: u = {0}

Subproblem 2

Set the factor '(v4 + 3u3)' equal to zero and attempt to solve: Simplifying v4 + 3u3 = 0 Reorder the terms: 3u3 + v4 = 0 Solving 3u3 + v4 = 0 Move all terms containing u to the left, all other terms to the right. Add '-1v4' to each side of the equation. 3u3 + v4 + -1v4 = 0 + -1v4 Combine like terms: v4 + -1v4 = 0 3u3 + 0 = 0 + -1v4 3u3 = 0 + -1v4 Remove the zero: 3u3 = -1v4 Divide each side by '3'. u3 = -0.3333333333v4 Simplifying u3 = -0.3333333333v4 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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