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Simplifying -5v(v + 4)(v + -6) = 0 Reorder the terms: -5v(4 + v)(v + -6) = 0 Reorder the terms: -5v(4 + v)(-6 + v) = 0 Multiply (4 + v) * (-6 + v) -5v(4(-6 + v) + v(-6 + v)) = 0 -5v((-6 * 4 + v * 4) + v(-6 + v)) = 0 -5v((-24 + 4v) + v(-6 + v)) = 0 -5v(-24 + 4v + (-6 * v + v * v)) = 0 -5v(-24 + 4v + (-6v + v2)) = 0 Combine like terms: 4v + -6v = -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((6 + -1v)(4 + 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 '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 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 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6Subproblem 3
Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 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 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4Solution
v = {0, 6, -4}
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