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Simplifying 9v3 + 58v2 + 24v = 0 Reorder the terms: 24v + 58v2 + 9v3 = 0 Solving 24v + 58v2 + 9v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(24 + 58v + 9v2) = 0 Factor a trinomial. v((6 + v)(4 + 9v)) = 0Subproblem 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 '(6 + v)' equal to zero and attempt to solve: Simplifying 6 + v = 0 Solving 6 + v = 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 + v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + v = 0 + -6 v = 0 + -6 Combine like terms: 0 + -6 = -6 v = -6 Simplifying v = -6Subproblem 3
Set the factor '(4 + 9v)' equal to zero and attempt to solve: Simplifying 4 + 9v = 0 Solving 4 + 9v = 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 + 9v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9v = 0 + -4 9v = 0 + -4 Combine like terms: 0 + -4 = -4 9v = -4 Divide each side by '9'. v = -0.4444444444 Simplifying v = -0.4444444444Solution
v = {0, -6, -0.4444444444}
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