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Simplifying v2 = -6v + -9 Reorder the terms: v2 = -9 + -6v Solving v2 = -9 + -6v Solving for variable 'v'. Reorder the terms: 9 + 6v + v2 = -9 + -6v + 9 + 6v Reorder the terms: 9 + 6v + v2 = -9 + 9 + -6v + 6v Combine like terms: -9 + 9 = 0 9 + 6v + v2 = 0 + -6v + 6v 9 + 6v + v2 = -6v + 6v Combine like terms: -6v + 6v = 0 9 + 6v + v2 = 0 Factor a trinomial. (3 + v)(3 + v) = 0Subproblem 1
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 = -3Subproblem 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 = {-3, -3}
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