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Simplifying -4v2 + -11v + 56 = -9v Reorder the terms: 56 + -11v + -4v2 = -9v Solving 56 + -11v + -4v2 = -9v Solving for variable 'v'. Reorder the terms: 56 + -11v + 9v + -4v2 = -9v + 9v Combine like terms: -11v + 9v = -2v 56 + -2v + -4v2 = -9v + 9v Combine like terms: -9v + 9v = 0 56 + -2v + -4v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(28 + -1v + -2v2) = 0 Factor a trinomial. 2((7 + -2v)(4 + v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -2v)' equal to zero and attempt to solve: Simplifying 7 + -2v = 0 Solving 7 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2v = 0 + -7 -2v = 0 + -7 Combine like terms: 0 + -7 = -7 -2v = -7 Divide each side by '-2'. v = 3.5 Simplifying v = 3.5Subproblem 2
Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 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 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4Solution
v = {3.5, -4}
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