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Simplifying 2v2 = -7v + -6 Reorder the terms: 2v2 = -6 + -7v Solving 2v2 = -6 + -7v Solving for variable 'v'. Reorder the terms: 6 + 7v + 2v2 = -6 + -7v + 6 + 7v Reorder the terms: 6 + 7v + 2v2 = -6 + 6 + -7v + 7v Combine like terms: -6 + 6 = 0 6 + 7v + 2v2 = 0 + -7v + 7v 6 + 7v + 2v2 = -7v + 7v Combine like terms: -7v + 7v = 0 6 + 7v + 2v2 = 0 Factor a trinomial. (2 + v)(3 + 2v) = 0Subproblem 1
Set the factor '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Subproblem 2
Set the factor '(3 + 2v)' equal to zero and attempt to solve: Simplifying 3 + 2v = 0 Solving 3 + 2v = 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 + 2v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2v = 0 + -3 2v = 0 + -3 Combine like terms: 0 + -3 = -3 2v = -3 Divide each side by '2'. v = -1.5 Simplifying v = -1.5Solution
v = {-2, -1.5}
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