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Simplifying (11v + 9)(2v + -9) = 0 Reorder the terms: (9 + 11v)(2v + -9) = 0 Reorder the terms: (9 + 11v)(-9 + 2v) = 0 Multiply (9 + 11v) * (-9 + 2v) (9(-9 + 2v) + 11v * (-9 + 2v)) = 0 ((-9 * 9 + 2v * 9) + 11v * (-9 + 2v)) = 0 ((-81 + 18v) + 11v * (-9 + 2v)) = 0 (-81 + 18v + (-9 * 11v + 2v * 11v)) = 0 (-81 + 18v + (-99v + 22v2)) = 0 Combine like terms: 18v + -99v = -81v (-81 + -81v + 22v2) = 0 Solving -81 + -81v + 22v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + -11v)(9 + -2v) = 0Subproblem 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 '(9 + -2v)' equal to zero and attempt to solve: Simplifying 9 + -2v = 0 Solving 9 + -2v = 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 + -2v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2v = 0 + -9 -2v = 0 + -9 Combine like terms: 0 + -9 = -9 -2v = -9 Divide each side by '-2'. v = 4.5 Simplifying v = 4.5Solution
v = {-0.8181818182, 4.5}
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