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Simplifying 2v2 + -4v + -2 = -2 + 2v Reorder the terms: -2 + -4v + 2v2 = -2 + 2v Add '2' to each side of the equation. -2 + -4v + 2 + 2v2 = -2 + 2 + 2v Reorder the terms: -2 + 2 + -4v + 2v2 = -2 + 2 + 2v Combine like terms: -2 + 2 = 0 0 + -4v + 2v2 = -2 + 2 + 2v -4v + 2v2 = -2 + 2 + 2v Combine like terms: -2 + 2 = 0 -4v + 2v2 = 0 + 2v -4v + 2v2 = 2v Solving -4v + 2v2 = 2v Solving for variable 'v'. Reorder the terms: -4v + -2v + 2v2 = 2v + -2v Combine like terms: -4v + -2v = -6v -6v + 2v2 = 2v + -2v Combine like terms: 2v + -2v = 0 -6v + 2v2 = 0 Factor out the Greatest Common Factor (GCF), '2v'. 2v(-3 + v) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0Subproblem 2
Set the factor '(-3 + v)' equal to zero and attempt to solve: Simplifying -3 + v = 0 Solving -3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + v = 0 + 3 v = 0 + 3 Combine like terms: 0 + 3 = 3 v = 3 Simplifying v = 3Solution
v = {0, 3}
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