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Simplifying (4v + 6)(9 + -1v) = 0 Reorder the terms: (6 + 4v)(9 + -1v) = 0 Multiply (6 + 4v) * (9 + -1v) (6(9 + -1v) + 4v * (9 + -1v)) = 0 ((9 * 6 + -1v * 6) + 4v * (9 + -1v)) = 0 ((54 + -6v) + 4v * (9 + -1v)) = 0 (54 + -6v + (9 * 4v + -1v * 4v)) = 0 (54 + -6v + (36v + -4v2)) = 0 Combine like terms: -6v + 36v = 30v (54 + 30v + -4v2) = 0 Solving 54 + 30v + -4v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2'. 2(27 + 15v + -2v2) = 0 Factor a trinomial. 2((9 + -1v)(3 + 2v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -1v)' equal to zero and attempt to solve: Simplifying 9 + -1v = 0 Solving 9 + -1v = 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 + -1v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1v = 0 + -9 -1v = 0 + -9 Combine like terms: 0 + -9 = -9 -1v = -9 Divide each side by '-1'. v = 9 Simplifying v = 9Subproblem 2
Set the factor '(3 + 2v)' equal to zero and attempt to solve: Simplifying 3 + 2v = 0 Solving 3 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2v = 0 + -3 2v = 0 + -3 Combine like terms: 0 + -3 = -3 2v = -3 Divide each side by '2'. v = -1.5 Simplifying v = -1.5Solution
v = {9, -1.5}
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