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Simplifying 15v3 + 39v2 + 24v = 0 Reorder the terms: 24v + 39v2 + 15v3 = 0 Solving 24v + 39v2 + 15v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3v'. 3v(8 + 13v + 5v2) = 0 Factor a trinomial. 3v((8 + 5v)(1 + v)) = 0 Ignore the factor 3.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 '(8 + 5v)' equal to zero and attempt to solve: Simplifying 8 + 5v = 0 Solving 8 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5v = 0 + -8 5v = 0 + -8 Combine like terms: 0 + -8 = -8 5v = -8 Divide each side by '5'. v = -1.6 Simplifying v = -1.6Subproblem 3
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 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 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Solution
v = {0, -1.6, -1}
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