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Simplifying v2 = -18 + -9v Solving v2 = -18 + -9v Solving for variable 'v'. Reorder the terms: 18 + 9v + v2 = -18 + -9v + 18 + 9v Reorder the terms: 18 + 9v + v2 = -18 + 18 + -9v + 9v Combine like terms: -18 + 18 = 0 18 + 9v + v2 = 0 + -9v + 9v 18 + 9v + v2 = -9v + 9v Combine like terms: -9v + 9v = 0 18 + 9v + v2 = 0 Factor a trinomial. (6 + v)(3 + v) = 0Subproblem 1
Set the factor '(6 + v)' equal to zero and attempt to solve: Simplifying 6 + v = 0 Solving 6 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + v = 0 + -6 v = 0 + -6 Combine like terms: 0 + -6 = -6 v = -6 Simplifying v = -6Subproblem 2
Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 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 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Solution
v = {-6, -3}
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