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Simplifying 0 = v2 + 8v + 15 Reorder the terms: 0 = 15 + 8v + v2 Solving 0 = 15 + 8v + v2 Solving for variable 'v'. Combine like terms: 0 + -15 = -15 -15 + -8v + -1v2 = 15 + 8v + v2 + -15 + -8v + -1v2 Reorder the terms: -15 + -8v + -1v2 = 15 + -15 + 8v + -8v + v2 + -1v2 Combine like terms: 15 + -15 = 0 -15 + -8v + -1v2 = 0 + 8v + -8v + v2 + -1v2 -15 + -8v + -1v2 = 8v + -8v + v2 + -1v2 Combine like terms: 8v + -8v = 0 -15 + -8v + -1v2 = 0 + v2 + -1v2 -15 + -8v + -1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 -15 + -8v + -1v2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(15 + 8v + v2) = 0 Factor a trinomial. -1((5 + v)(3 + v)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + v)' equal to zero and attempt to solve: Simplifying 5 + v = 0 Solving 5 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + v = 0 + -5 v = 0 + -5 Combine like terms: 0 + -5 = -5 v = -5 Simplifying v = -5Subproblem 2
Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 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 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Solution
v = {-5, -3}
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