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Simplifying -9v3 + -41v2 + -20v = 0 Reorder the terms: -20v + -41v2 + -9v3 = 0 Solving -20v + -41v2 + -9v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '-1v'. -1v(20 + 41v + 9v2) = 0 Factor a trinomial. -1v((4 + v)(5 + 9v)) = 0 Ignore the factor -1.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 + 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 = -4Subproblem 3
Set the factor '(5 + 9v)' equal to zero and attempt to solve: Simplifying 5 + 9v = 0 Solving 5 + 9v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9v = 0 + -5 9v = 0 + -5 Combine like terms: 0 + -5 = -5 9v = -5 Divide each side by '9'. v = -0.5555555556 Simplifying v = -0.5555555556Solution
v = {0, -4, -0.5555555556}
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