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Simplifying v2 = 45 + -4v Solving v2 = 45 + -4v Solving for variable 'v'. Reorder the terms: -45 + 4v + v2 = 45 + -4v + -45 + 4v Reorder the terms: -45 + 4v + v2 = 45 + -45 + -4v + 4v Combine like terms: 45 + -45 = 0 -45 + 4v + v2 = 0 + -4v + 4v -45 + 4v + v2 = -4v + 4v Combine like terms: -4v + 4v = 0 -45 + 4v + v2 = 0 Factor a trinomial. (-9 + -1v)(5 + -1v) = 0Subproblem 1
Set the factor '(-9 + -1v)' equal to zero and attempt to solve: Simplifying -9 + -1v = 0 Solving -9 + -1v = 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 + -1v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1v = 0 + 9 -1v = 0 + 9 Combine like terms: 0 + 9 = 9 -1v = 9 Divide each side by '-1'. v = -9 Simplifying v = -9Subproblem 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 = {-9, 5}
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