v^3w-16vw^3=0

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Solution for v^3w-16vw^3=0 equation:


Simplifying
v3w + -16vw3 = 0

Reorder the terms:
-16vw3 + v3w = 0

Solving
-16vw3 + v3w = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'vw'.
vw(-16w2 + v2) = 0

Factor a difference between two squares.
vw((4w + v)(-4w + v)) = 0

Subproblem 1

Set the factor 'vw' equal to zero and attempt to solve: Simplifying vw = 0 Solving vw = 0 Move all terms containing v to the left, all other terms to the right. Simplifying vw = 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

Subproblem 3

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, 4w}

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