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