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Simplifying 6v2 + -9v + -23 = -8 Reorder the terms: -23 + -9v + 6v2 = -8 Solving -23 + -9v + 6v2 = -8 Solving for variable 'v'. Reorder the terms: -23 + 8 + -9v + 6v2 = -8 + 8 Combine like terms: -23 + 8 = -15 -15 + -9v + 6v2 = -8 + 8 Combine like terms: -8 + 8 = 0 -15 + -9v + 6v2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + -3v + 2v2) = 0 Factor a trinomial. 3((-1 + -1v)(5 + -2v)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -1v)' equal to zero and attempt to solve: Simplifying -1 + -1v = 0 Solving -1 + -1v = 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 + -1v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1v = 0 + 1 -1v = 0 + 1 Combine like terms: 0 + 1 = 1 -1v = 1 Divide each side by '-1'. v = -1 Simplifying v = -1Subproblem 2
Set the factor '(5 + -2v)' equal to zero and attempt to solve: Simplifying 5 + -2v = 0 Solving 5 + -2v = 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 + -2v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2v = 0 + -5 -2v = 0 + -5 Combine like terms: 0 + -5 = -5 -2v = -5 Divide each side by '-2'. v = 2.5 Simplifying v = 2.5Solution
v = {-1, 2.5}
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