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Simplifying 4v2 = 17v + 15 Reorder the terms: 4v2 = 15 + 17v Solving 4v2 = 15 + 17v Solving for variable 'v'. Reorder the terms: -15 + -17v + 4v2 = 15 + 17v + -15 + -17v Reorder the terms: -15 + -17v + 4v2 = 15 + -15 + 17v + -17v Combine like terms: 15 + -15 = 0 -15 + -17v + 4v2 = 0 + 17v + -17v -15 + -17v + 4v2 = 17v + -17v Combine like terms: 17v + -17v = 0 -15 + -17v + 4v2 = 0 Factor a trinomial. (-3 + -4v)(5 + -1v) = 0Subproblem 1
Set the factor '(-3 + -4v)' equal to zero and attempt to solve: Simplifying -3 + -4v = 0 Solving -3 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4v = 0 + 3 -4v = 0 + 3 Combine like terms: 0 + 3 = 3 -4v = 3 Divide each side by '-4'. v = -0.75 Simplifying v = -0.75Subproblem 2
Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 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 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Solution
v = {-0.75, 5}
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