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Simplifying 20v2 + -175v + -250 = 0 Reorder the terms: -250 + -175v + 20v2 = 0 Solving -250 + -175v + 20v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5'. 5(-50 + -35v + 4v2) = 0 Factor a trinomial. 5((-5 + -4v)(10 + -1v)) = 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 '(10 + -1v)' equal to zero and attempt to solve: Simplifying 10 + -1v = 0 Solving 10 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1v = 0 + -10 -1v = 0 + -10 Combine like terms: 0 + -10 = -10 -1v = -10 Divide each side by '-1'. v = 10 Simplifying v = 10Solution
v = {-1.25, 10}
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