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Simplifying (11v + 9)(2v + -6) = 0 Reorder the terms: (9 + 11v)(2v + -6) = 0 Reorder the terms: (9 + 11v)(-6 + 2v) = 0 Multiply (9 + 11v) * (-6 + 2v) (9(-6 + 2v) + 11v * (-6 + 2v)) = 0 ((-6 * 9 + 2v * 9) + 11v * (-6 + 2v)) = 0 ((-54 + 18v) + 11v * (-6 + 2v)) = 0 (-54 + 18v + (-6 * 11v + 2v * 11v)) = 0 (-54 + 18v + (-66v + 22v2)) = 0 Combine like terms: 18v + -66v = -48v (-54 + -48v + 22v2) = 0 Solving -54 + -48v + 22v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2'. 2(-27 + -24v + 11v2) = 0 Factor a trinomial. 2((-9 + -11v)(3 + -1v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -11v)' equal to zero and attempt to solve: Simplifying -9 + -11v = 0 Solving -9 + -11v = 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 + -11v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -11v = 0 + 9 -11v = 0 + 9 Combine like terms: 0 + 9 = 9 -11v = 9 Divide each side by '-11'. v = -0.8181818182 Simplifying v = -0.8181818182Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 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 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Solution
v = {-0.8181818182, 3}
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