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Simplifying 3v2 = -96 + -36v Solving 3v2 = -96 + -36v Solving for variable 'v'. Reorder the terms: 96 + 36v + 3v2 = -96 + -36v + 96 + 36v Reorder the terms: 96 + 36v + 3v2 = -96 + 96 + -36v + 36v Combine like terms: -96 + 96 = 0 96 + 36v + 3v2 = 0 + -36v + 36v 96 + 36v + 3v2 = -36v + 36v Combine like terms: -36v + 36v = 0 96 + 36v + 3v2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(32 + 12v + v2) = 0 Factor a trinomial. 3((8 + v)(4 + v)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(8 + v)' equal to zero and attempt to solve: Simplifying 8 + v = 0 Solving 8 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + v = 0 + -8 v = 0 + -8 Combine like terms: 0 + -8 = -8 v = -8 Simplifying v = -8Subproblem 2
Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4Solution
v = {-8, -4}
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