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Simplifying (11v + 5)(6v + -18) = 0 Reorder the terms: (5 + 11v)(6v + -18) = 0 Reorder the terms: (5 + 11v)(-18 + 6v) = 0 Multiply (5 + 11v) * (-18 + 6v) (5(-18 + 6v) + 11v * (-18 + 6v)) = 0 ((-18 * 5 + 6v * 5) + 11v * (-18 + 6v)) = 0 ((-90 + 30v) + 11v * (-18 + 6v)) = 0 (-90 + 30v + (-18 * 11v + 6v * 11v)) = 0 (-90 + 30v + (-198v + 66v2)) = 0 Combine like terms: 30v + -198v = -168v (-90 + -168v + 66v2) = 0 Solving -90 + -168v + 66v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '6'. 6(-15 + -28v + 11v2) = 0 Factor a trinomial. 6((-5 + -11v)(3 + -1v)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-5 + -11v)' equal to zero and attempt to solve: Simplifying -5 + -11v = 0 Solving -5 + -11v = 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 + -11v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -11v = 0 + 5 -11v = 0 + 5 Combine like terms: 0 + 5 = 5 -11v = 5 Divide each side by '-11'. v = -0.4545454545 Simplifying v = -0.4545454545Subproblem 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 = {-0.4545454545, 3}
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