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Simplifying -9v3 + 24v2 + -7v = 0 Reorder the terms: -7v + 24v2 + -9v3 = 0 Solving -7v + 24v2 + -9v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(-7 + 24v + -9v2) = 0 Factor a trinomial. v((-7 + 3v)(1 + -3v)) = 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 '(-7 + 3v)' equal to zero and attempt to solve: Simplifying -7 + 3v = 0 Solving -7 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3v = 0 + 7 3v = 0 + 7 Combine like terms: 0 + 7 = 7 3v = 7 Divide each side by '3'. v = 2.333333333 Simplifying v = 2.333333333Subproblem 3
Set the factor '(1 + -3v)' equal to zero and attempt to solve: Simplifying 1 + -3v = 0 Solving 1 + -3v = 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 + -3v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3v = 0 + -1 -3v = 0 + -1 Combine like terms: 0 + -1 = -1 -3v = -1 Divide each side by '-3'. v = 0.3333333333 Simplifying v = 0.3333333333Solution
v = {0, 2.333333333, 0.3333333333}
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