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Simplifying 4v(v + -6)(v + 4) = 0 Reorder the terms: 4v(-6 + v)(v + 4) = 0 Reorder the terms: 4v(-6 + v)(4 + v) = 0 Multiply (-6 + v) * (4 + v) 4v(-6(4 + v) + v(4 + v)) = 0 4v((4 * -6 + v * -6) + v(4 + v)) = 0 4v((-24 + -6v) + v(4 + v)) = 0 4v(-24 + -6v + (4 * v + v * v)) = 0 4v(-24 + -6v + (4v + v2)) = 0 Combine like terms: -6v + 4v = -2v 4v(-24 + -2v + v2) = 0 (-24 * 4v + -2v * 4v + v2 * 4v) = 0 (-96v + -8v2 + 4v3) = 0 Solving -96v + -8v2 + 4v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4v'. 4v(-24 + -2v + v2) = 0 Factor a trinomial. 4v((-4 + -1v)(6 + -1v)) = 0 Ignore the factor 4.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 + -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 = 6Solution
v = {0, -4, 6}
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