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Simplifying -9v2 + -22v + -8 = 0 Reorder the terms: -8 + -22v + -9v2 = 0 Solving -8 + -22v + -9v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + 22v + 9v2) = 0 Factor a trinomial. -1((2 + v)(4 + 9v)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Subproblem 2
Set the factor '(4 + 9v)' equal to zero and attempt to solve: Simplifying 4 + 9v = 0 Solving 4 + 9v = 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 + 9v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9v = 0 + -4 9v = 0 + -4 Combine like terms: 0 + -4 = -4 9v = -4 Divide each side by '9'. v = -0.4444444444 Simplifying v = -0.4444444444Solution
v = {-2, -0.4444444444}
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