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Simplifying -2v(v + -5)(v + -6) = 0 Reorder the terms: -2v(-5 + v)(v + -6) = 0 Reorder the terms: -2v(-5 + v)(-6 + v) = 0 Multiply (-5 + v) * (-6 + v) -2v(-5(-6 + v) + v(-6 + v)) = 0 -2v((-6 * -5 + v * -5) + v(-6 + v)) = 0 -2v((30 + -5v) + v(-6 + v)) = 0 -2v(30 + -5v + (-6 * v + v * v)) = 0 -2v(30 + -5v + (-6v + v2)) = 0 Combine like terms: -5v + -6v = -11v -2v(30 + -11v + v2) = 0 (30 * -2v + -11v * -2v + v2 * -2v) = 0 (-60v + 22v2 + -2v3) = 0 Solving -60v + 22v2 + -2v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2v'. 2v(-30 + 11v + -1v2) = 0 Factor a trinomial. 2v((-6 + v)(5 + -1v)) = 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 '(-6 + v)' equal to zero and attempt to solve: Simplifying -6 + v = 0 Solving -6 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + v = 0 + 6 v = 0 + 6 Combine like terms: 0 + 6 = 6 v = 6 Simplifying v = 6Subproblem 3
Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Solution
v = {0, 6, 5}
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