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Simplifying -8v2 + -34v + -15 = 0 Reorder the terms: -15 + -34v + -8v2 = 0 Solving -15 + -34v + -8v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '-1'. -1(15 + 34v + 8v2) = 0 Factor a trinomial. -1((15 + 4v)(1 + 2v)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(15 + 4v)' equal to zero and attempt to solve: Simplifying 15 + 4v = 0 Solving 15 + 4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4v = 0 + -15 4v = 0 + -15 Combine like terms: 0 + -15 = -15 4v = -15 Divide each side by '4'. v = -3.75 Simplifying v = -3.75Subproblem 2
Set the factor '(1 + 2v)' equal to zero and attempt to solve: Simplifying 1 + 2v = 0 Solving 1 + 2v = 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 + 2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2v = 0 + -1 2v = 0 + -1 Combine like terms: 0 + -1 = -1 2v = -1 Divide each side by '2'. v = -0.5 Simplifying v = -0.5Solution
v = {-3.75, -0.5}
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