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Simplifying v2 + -69 = 20v Reorder the terms: -69 + v2 = 20v Solving -69 + v2 = 20v Solving for variable 'v'. Reorder the terms: -69 + -20v + v2 = 20v + -20v Combine like terms: 20v + -20v = 0 -69 + -20v + v2 = 0 Factor a trinomial. (-3 + -1v)(23 + -1v) = 0Subproblem 1
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 = -3Subproblem 2
Set the factor '(23 + -1v)' equal to zero and attempt to solve: Simplifying 23 + -1v = 0 Solving 23 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1v = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1v = 0 + -23 -1v = 0 + -23 Combine like terms: 0 + -23 = -23 -1v = -23 Divide each side by '-1'. v = 23 Simplifying v = 23Solution
v = {-3, 23}
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