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Simplifying 60v2 + -65v + -175 = 0 Reorder the terms: -175 + -65v + 60v2 = 0 Solving -175 + -65v + 60v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5'. 5(-35 + -13v + 12v2) = 0 Factor a trinomial. 5((-5 + -4v)(7 + -3v)) = 0 Ignore the factor 5.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 '(7 + -3v)' equal to zero and attempt to solve: Simplifying 7 + -3v = 0 Solving 7 + -3v = 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 + -3v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3v = 0 + -7 -3v = 0 + -7 Combine like terms: 0 + -7 = -7 -3v = -7 Divide each side by '-3'. v = 2.333333333 Simplifying v = 2.333333333Solution
v = {-1.25, 2.333333333}
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