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Simplifying 6v2 + 66v + 168 = 0 Reorder the terms: 168 + 66v + 6v2 = 0 Solving 168 + 66v + 6v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '6'. 6(28 + 11v + v2) = 0 Factor a trinomial. 6((7 + v)(4 + v)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(7 + v)' equal to zero and attempt to solve: Simplifying 7 + v = 0 Solving 7 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + v = 0 + -7 v = 0 + -7 Combine like terms: 0 + -7 = -7 v = -7 Simplifying v = -7Subproblem 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 = {-7, -4}
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