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Simplifying 20v2 + 17v + -63 = 0 Reorder the terms: -63 + 17v + 20v2 = 0 Solving -63 + 17v + 20v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + -4v)(7 + -5v) = 0Subproblem 1
Set the factor '(-9 + -4v)' equal to zero and attempt to solve: Simplifying -9 + -4v = 0 Solving -9 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4v = 0 + 9 -4v = 0 + 9 Combine like terms: 0 + 9 = 9 -4v = 9 Divide each side by '-4'. v = -2.25 Simplifying v = -2.25Subproblem 2
Set the factor '(7 + -5v)' equal to zero and attempt to solve: Simplifying 7 + -5v = 0 Solving 7 + -5v = 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 + -5v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5v = 0 + -7 -5v = 0 + -7 Combine like terms: 0 + -7 = -7 -5v = -7 Divide each side by '-5'. v = 1.4 Simplifying v = 1.4Solution
v = {-2.25, 1.4}
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