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Simplifying -8v2 + -77v + -45 = 0 Reorder the terms: -45 + -77v + -8v2 = 0 Solving -45 + -77v + -8v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '-1'. -1(45 + 77v + 8v2) = 0 Factor a trinomial. -1((9 + v)(5 + 8v)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + v)' equal to zero and attempt to solve: Simplifying 9 + v = 0 Solving 9 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + v = 0 + -9 v = 0 + -9 Combine like terms: 0 + -9 = -9 v = -9 Simplifying v = -9Subproblem 2
Set the factor '(5 + 8v)' equal to zero and attempt to solve: Simplifying 5 + 8v = 0 Solving 5 + 8v = 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 + 8v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8v = 0 + -5 8v = 0 + -5 Combine like terms: 0 + -5 = -5 8v = -5 Divide each side by '8'. v = -0.625 Simplifying v = -0.625Solution
v = {-9, -0.625}
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