3u^2v^2(2u-7v)=

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Solution for 3u^2v^2(2u-7v)= equation:


Simplifying
3u2v2(2u + -7v) = 0
(2u * 3u2v2 + -7v * 3u2v2) = 0

Reorder the terms:
(-21u2v3 + 6u3v2) = 0
(-21u2v3 + 6u3v2) = 0

Solving
-21u2v3 + 6u3v2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3u2v2'.
3u2v2(-7v + 2u) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'u2v2' equal to zero and attempt to solve: Simplifying u2v2 = 0 Solving u2v2 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u2v2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-7v + 2u)' equal to zero and attempt to solve: Simplifying -7v + 2u = 0 Reorder the terms: 2u + -7v = 0 Solving 2u + -7v = 0 Move all terms containing u to the left, all other terms to the right. Add '7v' to each side of the equation. 2u + -7v + 7v = 0 + 7v Combine like terms: -7v + 7v = 0 2u + 0 = 0 + 7v 2u = 0 + 7v Remove the zero: 2u = 7v Divide each side by '2'. u = 3.5v Simplifying u = 3.5v

Solution

u = {3.5v}

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