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Simplifying 12v2 + 24v + 12 = 0 Reorder the terms: 12 + 24v + 12v2 = 0 Solving 12 + 24v + 12v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '12'. 12(1 + 2v + v2) = 0 Factor a trinomial. 12((1 + v)(1 + v)) = 0 Ignore the factor 12.Subproblem 1
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 = -1Subproblem 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, -1}
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