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Simplifying -5v(v + 6)(v + -4) = 0 Reorder the terms: -5v(6 + v)(v + -4) = 0 Reorder the terms: -5v(6 + v)(-4 + v) = 0 Multiply (6 + v) * (-4 + v) -5v(6(-4 + v) + v(-4 + v)) = 0 -5v((-4 * 6 + v * 6) + v(-4 + v)) = 0 -5v((-24 + 6v) + v(-4 + v)) = 0 -5v(-24 + 6v + (-4 * v + v * v)) = 0 -5v(-24 + 6v + (-4v + v2)) = 0 Combine like terms: 6v + -4v = 2v -5v(-24 + 2v + v2) = 0 (-24 * -5v + 2v * -5v + v2 * -5v) = 0 (120v + -10v2 + -5v3) = 0 Solving 120v + -10v2 + -5v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5v'. 5v(24 + -2v + -1v2) = 0 Factor a trinomial. 5v((4 + -1v)(6 + v)) = 0 Ignore the factor 5.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 '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Subproblem 3
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 = -6Solution
v = {0, 4, -6}
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