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Simplifying 4v(v + 3)(v + -1) = 0 Reorder the terms: 4v(3 + v)(v + -1) = 0 Reorder the terms: 4v(3 + v)(-1 + v) = 0 Multiply (3 + v) * (-1 + v) 4v(3(-1 + v) + v(-1 + v)) = 0 4v((-1 * 3 + v * 3) + v(-1 + v)) = 0 4v((-3 + 3v) + v(-1 + v)) = 0 4v(-3 + 3v + (-1 * v + v * v)) = 0 4v(-3 + 3v + (-1v + v2)) = 0 Combine like terms: 3v + -1v = 2v 4v(-3 + 2v + v2) = 0 (-3 * 4v + 2v * 4v + v2 * 4v) = 0 (-12v + 8v2 + 4v3) = 0 Solving -12v + 8v2 + 4v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4v'. 4v(-3 + 2v + v2) = 0 Factor a trinomial. 4v((-3 + -1v)(1 + -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 '(-3 + -1v)' equal to zero and attempt to solve: Simplifying -3 + -1v = 0 Solving -3 + -1v = 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 + -1v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1v = 0 + 3 -1v = 0 + 3 Combine like terms: 0 + 3 = 3 -1v = 3 Divide each side by '-1'. v = -3 Simplifying v = -3Subproblem 3
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 = 1Solution
v = {0, -3, 1}
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