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Simplifying -2v2 + -1v + 12 = -3v Reorder the terms: 12 + -1v + -2v2 = -3v Solving 12 + -1v + -2v2 = -3v Solving for variable 'v'. Reorder the terms: 12 + -1v + 3v + -2v2 = -3v + 3v Combine like terms: -1v + 3v = 2v 12 + 2v + -2v2 = -3v + 3v Combine like terms: -3v + 3v = 0 12 + 2v + -2v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + v + -1v2) = 0 Factor a trinomial. 2((3 + -1v)(2 + v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 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 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Subproblem 2
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 = -2Solution
v = {3, -2}
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