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Simplifying 2v2 + 3 = -5v Reorder the terms: 3 + 2v2 = -5v Solving 3 + 2v2 = -5v Solving for variable 'v'. Reorder the terms: 3 + 5v + 2v2 = -5v + 5v Combine like terms: -5v + 5v = 0 3 + 5v + 2v2 = 0 Factor a trinomial. (3 + 2v)(1 + v) = 0Subproblem 1
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 = -1.5Subproblem 2
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 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 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Solution
v = {-1.5, -1}
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