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Simplifying 2v3 + -4v2 = 70v Reorder the terms: -4v2 + 2v3 = 70v Solving -4v2 + 2v3 = 70v Solving for variable 'v'. Reorder the terms: -70v + -4v2 + 2v3 = 70v + -70v Combine like terms: 70v + -70v = 0 -70v + -4v2 + 2v3 = 0 Factor out the Greatest Common Factor (GCF), '2v'. 2v(-35 + -2v + v2) = 0 Factor a trinomial. 2v((-5 + -1v)(7 + -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 '(7 + -1v)' equal to zero and attempt to solve: Simplifying 7 + -1v = 0 Solving 7 + -1v = 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 + -1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 0 + -7 -1v = 0 + -7 Combine like terms: 0 + -7 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7Solution
v = {0, -5, 7}
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