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Simplifying 2v3 + -60v = -14v2 Reorder the terms: -60v + 2v3 = -14v2 Solving -60v + 2v3 = -14v2 Solving for variable 'v'. Reorder the terms: -60v + 14v2 + 2v3 = -14v2 + 14v2 Combine like terms: -14v2 + 14v2 = 0 -60v + 14v2 + 2v3 = 0 Factor out the Greatest Common Factor (GCF), '2v'. 2v(-30 + 7v + v2) = 0 Factor a trinomial. 2v((-10 + -1v)(3 + -1v)) = 0 Ignore the factor 2.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 '(-10 + -1v)' equal to zero and attempt to solve: Simplifying -10 + -1v = 0 Solving -10 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1v = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1v = 0 + 10 -1v = 0 + 10 Combine like terms: 0 + 10 = 10 -1v = 10 Divide each side by '-1'. v = -10 Simplifying v = -10Subproblem 3
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Solution
v = {0, -10, 3}
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