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Simplifying 35v2 + -60v + -20 = 0 Reorder the terms: -20 + -60v + 35v2 = 0 Solving -20 + -60v + 35v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5'. 5(-4 + -12v + 7v2) = 0 Factor a trinomial. 5((-2 + -7v)(2 + -1v)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-2 + -7v)' equal to zero and attempt to solve: Simplifying -2 + -7v = 0 Solving -2 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7v = 0 + 2 -7v = 0 + 2 Combine like terms: 0 + 2 = 2 -7v = 2 Divide each side by '-7'. v = -0.2857142857 Simplifying v = -0.2857142857Subproblem 2
Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Solution
v = {-0.2857142857, 2}
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