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Simplifying v2 = -12 + -7v Solving v2 = -12 + -7v Solving for variable 'v'. Reorder the terms: 12 + 7v + v2 = -12 + -7v + 12 + 7v Reorder the terms: 12 + 7v + v2 = -12 + 12 + -7v + 7v Combine like terms: -12 + 12 = 0 12 + 7v + v2 = 0 + -7v + 7v 12 + 7v + v2 = -7v + 7v Combine like terms: -7v + 7v = 0 12 + 7v + v2 = 0 Factor a trinomial. (4 + v)(3 + v) = 0Subproblem 1
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 = -4Subproblem 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 = {-4, -3}
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