2v^3w+8v^2w^2=0

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Solution for 2v^3w+8v^2w^2=0 equation:


Simplifying
2v3w + 8v2w2 = 0

Reorder the terms:
8v2w2 + 2v3w = 0

Solving
8v2w2 + 2v3w = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v2w'.
2v2w(4w + v) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'v2w' equal to zero and attempt to solve: Simplifying v2w = 0 Solving v2w = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v2w = 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 '(4w + v)' equal to zero and attempt to solve: Simplifying 4w + v = 0 Reorder the terms: v + 4w = 0 Solving v + 4w = 0 Move all terms containing v to the left, all other terms to the right. Add '-4w' to each side of the equation. v + 4w + -4w = 0 + -4w Combine like terms: 4w + -4w = 0 v + 0 = 0 + -4w v = 0 + -4w Remove the zero: v = -4w Simplifying v = -4w

Solution

v = {-4w}

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