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