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Simplifying 3v2 + 9v + 6 = 0 Reorder the terms: 6 + 9v + 3v2 = 0 Solving 6 + 9v + 3v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3'. 3(2 + 3v + v2) = 0 Factor a trinomial. 3((2 + v)(1 + v)) = 0 Ignore the factor 3.Subproblem 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 '(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 = {-2, -1}
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