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Simplifying 9v2 + -22v + -72 = -4v Reorder the terms: -72 + -22v + 9v2 = -4v Solving -72 + -22v + 9v2 = -4v Solving for variable 'v'. Reorder the terms: -72 + -22v + 4v + 9v2 = -4v + 4v Combine like terms: -22v + 4v = -18v -72 + -18v + 9v2 = -4v + 4v Combine like terms: -4v + 4v = 0 -72 + -18v + 9v2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(-8 + -2v + v2) = 0 Factor a trinomial. 9((-2 + -1v)(4 + -1v)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(-2 + -1v)' equal to zero and attempt to solve: Simplifying -2 + -1v = 0 Solving -2 + -1v = 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 + -1v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1v = 0 + 2 -1v = 0 + 2 Combine like terms: 0 + 2 = 2 -1v = 2 Divide each side by '-1'. v = -2 Simplifying v = -2Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {-2, 4}
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