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Simplifying 80v2 + 52v + -60 = 0 Reorder the terms: -60 + 52v + 80v2 = 0 Solving -60 + 52v + 80v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4'. 4(-15 + 13v + 20v2) = 0 Factor a trinomial. 4((-5 + -4v)(3 + -5v)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + -4v)' equal to zero and attempt to solve: Simplifying -5 + -4v = 0 Solving -5 + -4v = 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 + -4v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4v = 0 + 5 -4v = 0 + 5 Combine like terms: 0 + 5 = 5 -4v = 5 Divide each side by '-4'. v = -1.25 Simplifying v = -1.25Subproblem 2
Set the factor '(3 + -5v)' equal to zero and attempt to solve: Simplifying 3 + -5v = 0 Solving 3 + -5v = 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 + -5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5v = 0 + -3 -5v = 0 + -3 Combine like terms: 0 + -3 = -3 -5v = -3 Divide each side by '-5'. v = 0.6 Simplifying v = 0.6Solution
v = {-1.25, 0.6}
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