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Simplifying -5v(v + -1)(v + 3) = 0 Reorder the terms: -5v(-1 + v)(v + 3) = 0 Reorder the terms: -5v(-1 + v)(3 + v) = 0 Multiply (-1 + v) * (3 + v) -5v(-1(3 + v) + v(3 + v)) = 0 -5v((3 * -1 + v * -1) + v(3 + v)) = 0 -5v((-3 + -1v) + v(3 + v)) = 0 -5v(-3 + -1v + (3 * v + v * v)) = 0 -5v(-3 + -1v + (3v + v2)) = 0 Combine like terms: -1v + 3v = 2v -5v(-3 + 2v + v2) = 0 (-3 * -5v + 2v * -5v + v2 * -5v) = 0 (15v + -10v2 + -5v3) = 0 Solving 15v + -10v2 + -5v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5v'. 5v(3 + -2v + -1v2) = 0 Factor a trinomial. 5v((1 + -1v)(3 + 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 '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 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 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Subproblem 3
Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Solution
v = {0, 1, -3}
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