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Simplifying 2v2 = -3 + -7v Solving 2v2 = -3 + -7v Solving for variable 'v'. Reorder the terms: 3 + 7v + 2v2 = -3 + -7v + 3 + 7v Reorder the terms: 3 + 7v + 2v2 = -3 + 3 + -7v + 7v Combine like terms: -3 + 3 = 0 3 + 7v + 2v2 = 0 + -7v + 7v 3 + 7v + 2v2 = -7v + 7v Combine like terms: -7v + 7v = 0 3 + 7v + 2v2 = 0 Factor a trinomial. (3 + v)(1 + 2v) = 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 '(1 + 2v)' equal to zero and attempt to solve: Simplifying 1 + 2v = 0 Solving 1 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2v = 0 + -1 2v = 0 + -1 Combine like terms: 0 + -1 = -1 2v = -1 Divide each side by '2'. v = -0.5 Simplifying v = -0.5Solution
v = {-3, -0.5}
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