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Simplifying 24v3 + 116v2 + -168v = 0 Reorder the terms: -168v + 116v2 + 24v3 = 0 Solving -168v + 116v2 + 24v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4v'. 4v(-42 + 29v + 6v2) = 0 Factor a trinomial. 4v((-6 + -1v)(7 + -6v)) = 0 Ignore the factor 4.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 '(-6 + -1v)' equal to zero and attempt to solve: Simplifying -6 + -1v = 0 Solving -6 + -1v = 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 + -1v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1v = 0 + 6 -1v = 0 + 6 Combine like terms: 0 + 6 = 6 -1v = 6 Divide each side by '-1'. v = -6 Simplifying v = -6Subproblem 3
Set the factor '(7 + -6v)' equal to zero and attempt to solve: Simplifying 7 + -6v = 0 Solving 7 + -6v = 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 + -6v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6v = 0 + -7 -6v = 0 + -7 Combine like terms: 0 + -7 = -7 -6v = -7 Divide each side by '-6'. v = 1.166666667 Simplifying v = 1.166666667Solution
v = {0, -6, 1.166666667}
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