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Simplifying 6v3 + -6v = 9v2 Reorder the terms: -6v + 6v3 = 9v2 Solving -6v + 6v3 = 9v2 Solving for variable 'v'. Reorder the terms: -6v + -9v2 + 6v3 = 9v2 + -9v2 Combine like terms: 9v2 + -9v2 = 0 -6v + -9v2 + 6v3 = 0 Factor out the Greatest Common Factor (GCF), '3v'. 3v(-2 + -3v + 2v2) = 0 Factor a trinomial. 3v((-1 + -2v)(2 + -1v)) = 0 Ignore the factor 3.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 '(-1 + -2v)' equal to zero and attempt to solve: Simplifying -1 + -2v = 0 Solving -1 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2v = 0 + 1 -2v = 0 + 1 Combine like terms: 0 + 1 = 1 -2v = 1 Divide each side by '-2'. v = -0.5 Simplifying v = -0.5Subproblem 3
Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Solution
v = {0, -0.5, 2}
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