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Simplifying 2v3 + -6v2 = 80v Reorder the terms: -6v2 + 2v3 = 80v Solving -6v2 + 2v3 = 80v Solving for variable 'v'. Reorder the terms: -80v + -6v2 + 2v3 = 80v + -80v Combine like terms: 80v + -80v = 0 -80v + -6v2 + 2v3 = 0 Factor out the Greatest Common Factor (GCF), '2v'. 2v(-40 + -3v + v2) = 0 Factor a trinomial. 2v((-5 + -1v)(8 + -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 '(-5 + -1v)' equal to zero and attempt to solve: Simplifying -5 + -1v = 0 Solving -5 + -1v = 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 + -1v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1v = 0 + 5 -1v = 0 + 5 Combine like terms: 0 + 5 = 5 -1v = 5 Divide each side by '-1'. v = -5 Simplifying v = -5Subproblem 3
Set the factor '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 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 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8Solution
v = {0, -5, 8}
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