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Simplifying 18v3 + 24v2 + -120v = 0 Reorder the terms: -120v + 24v2 + 18v3 = 0 Solving -120v + 24v2 + 18v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '6v'. 6v(-20 + 4v + 3v2) = 0 Factor a trinomial. 6v((-10 + -3v)(2 + -1v)) = 0 Ignore the factor 6.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 '(-10 + -3v)' equal to zero and attempt to solve: Simplifying -10 + -3v = 0 Solving -10 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3v = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3v = 0 + 10 -3v = 0 + 10 Combine like terms: 0 + 10 = 10 -3v = 10 Divide each side by '-3'. v = -3.333333333 Simplifying v = -3.333333333Subproblem 3
Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Solution
v = {0, -3.333333333, 2}
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