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Simplifying -1vw2 + vw + -1v2w + -3vw2 + 2v2w = 0 Reorder the terms: vw + -1vw2 + -3vw2 + -1v2w + 2v2w = 0 Combine like terms: -1vw2 + -3vw2 = -4vw2 vw + -4vw2 + -1v2w + 2v2w = 0 Combine like terms: -1v2w + 2v2w = 1v2w vw + -4vw2 + 1v2w = 0 Solving vw + -4vw2 + 1v2w = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'vw'. vw(1 + -4w + v) = 0Subproblem 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 '(1 + -4w + v)' equal to zero and attempt to solve: Simplifying 1 + -4w + v = 0 Reorder the terms: 1 + v + -4w = 0 Solving 1 + v + -4w = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + v + -1 + -4w = 0 + -1 Reorder the terms: 1 + -1 + v + -4w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v + -4w = 0 + -1 v + -4w = 0 + -1 Combine like terms: 0 + -1 = -1 v + -4w = -1 Add '4w' to each side of the equation. v + -4w + 4w = -1 + 4w Combine like terms: -4w + 4w = 0 v + 0 = -1 + 4w v = -1 + 4w Simplifying v = -1 + 4wSolution
v = {-1 + 4w}
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