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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 = 42v (-54 + 42v + -4v2) = 0 Solving -54 + 42v + -4v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2'. 2(-27 + 21v + -2v2) = 0 Factor a trinomial. 2((-9 + v)(3 + -2v)) = 0 Ignore the factor 2.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 '(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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