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Simplifying 6v2 = 39v + -60 Reorder the terms: 6v2 = -60 + 39v Solving 6v2 = -60 + 39v Solving for variable 'v'. Reorder the terms: 60 + -39v + 6v2 = -60 + 39v + 60 + -39v Reorder the terms: 60 + -39v + 6v2 = -60 + 60 + 39v + -39v Combine like terms: -60 + 60 = 0 60 + -39v + 6v2 = 0 + 39v + -39v 60 + -39v + 6v2 = 39v + -39v Combine like terms: 39v + -39v = 0 60 + -39v + 6v2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(20 + -13v + 2v2) = 0 Factor a trinomial. 3((5 + -2v)(4 + -1v)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + -2v)' equal to zero and attempt to solve: Simplifying 5 + -2v = 0 Solving 5 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2v = 0 + -5 -2v = 0 + -5 Combine like terms: 0 + -5 = -5 -2v = -5 Divide each side by '-2'. v = 2.5 Simplifying v = 2.5Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {2.5, 4}
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