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Simplifying 20v2 + -17v = 63 Reorder the terms: -17v + 20v2 = 63 Solving -17v + 20v2 = 63 Solving for variable 'v'. Reorder the terms: -63 + -17v + 20v2 = 63 + -63 Combine like terms: 63 + -63 = 0 -63 + -17v + 20v2 = 0 Factor a trinomial. (-7 + -5v)(9 + -4v) = 0Subproblem 1
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 = -1.4Subproblem 2
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 = 2.25Solution
v = {-1.4, 2.25}
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