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Simplifying v2 = 15 + -2v Solving v2 = 15 + -2v Solving for variable 'v'. Reorder the terms: -15 + 2v + v2 = 15 + -2v + -15 + 2v Reorder the terms: -15 + 2v + v2 = 15 + -15 + -2v + 2v Combine like terms: 15 + -15 = 0 -15 + 2v + v2 = 0 + -2v + 2v -15 + 2v + v2 = -2v + 2v Combine like terms: -2v + 2v = 0 -15 + 2v + v2 = 0 Factor a trinomial. (-5 + -1v)(3 + -1v) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 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 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Solution
v = {-5, 3}
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