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Simplifying -1v2 + -13v + -12 = 0 Reorder the terms: -12 + -13v + -1v2 = 0 Solving -12 + -13v + -1v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '-1'. -1(12 + 13v + v2) = 0 Factor a trinomial. -1((12 + v)(1 + v)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(12 + v)' equal to zero and attempt to solve: Simplifying 12 + v = 0 Solving 12 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + v = 0 + -12 v = 0 + -12 Combine like terms: 0 + -12 = -12 v = -12 Simplifying v = -12Subproblem 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 = {-12, -1}
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