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Simplifying v(-9 + -1v) = 20 (-9 * v + -1v * v) = 20 (-9v + -1v2) = 20 Solving -9v + -1v2 = 20 Solving for variable 'v'. Reorder the terms: -20 + -9v + -1v2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -9v + -1v2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(20 + 9v + v2) = 0 Factor a trinomial. -1((5 + v)(4 + v)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + v)' equal to zero and attempt to solve: Simplifying 5 + v = 0 Solving 5 + v = 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 + v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + v = 0 + -5 v = 0 + -5 Combine like terms: 0 + -5 = -5 v = -5 Simplifying v = -5Subproblem 2
Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 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 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4Solution
v = {-5, -4}
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