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Simplifying (11v + 9)(2v + -5) = 0 Reorder the terms: (9 + 11v)(2v + -5) = 0 Reorder the terms: (9 + 11v)(-5 + 2v) = 0 Multiply (9 + 11v) * (-5 + 2v) (9(-5 + 2v) + 11v * (-5 + 2v)) = 0 ((-5 * 9 + 2v * 9) + 11v * (-5 + 2v)) = 0 ((-45 + 18v) + 11v * (-5 + 2v)) = 0 (-45 + 18v + (-5 * 11v + 2v * 11v)) = 0 (-45 + 18v + (-55v + 22v2)) = 0 Combine like terms: 18v + -55v = -37v (-45 + -37v + 22v2) = 0 Solving -45 + -37v + 22v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + -11v)(5 + -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 '(5 + -2v)' equal to zero and attempt to solve: Simplifying 5 + -2v = 0 Solving 5 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2v = 0 + -5 -2v = 0 + -5 Combine like terms: 0 + -5 = -5 -2v = -5 Divide each side by '-2'. v = 2.5 Simplifying v = 2.5Solution
v = {-0.8181818182, 2.5}
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