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Simplifying (11s + 5)(6s + -18) = 0 Reorder the terms: (5 + 11s)(6s + -18) = 0 Reorder the terms: (5 + 11s)(-18 + 6s) = 0 Multiply (5 + 11s) * (-18 + 6s) (5(-18 + 6s) + 11s * (-18 + 6s)) = 0 ((-18 * 5 + 6s * 5) + 11s * (-18 + 6s)) = 0 ((-90 + 30s) + 11s * (-18 + 6s)) = 0 (-90 + 30s + (-18 * 11s + 6s * 11s)) = 0 (-90 + 30s + (-198s + 66s2)) = 0 Combine like terms: 30s + -198s = -168s (-90 + -168s + 66s2) = 0 Solving -90 + -168s + 66s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '6'. 6(-15 + -28s + 11s2) = 0 Factor a trinomial. 6((-5 + -11s)(3 + -1s)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-5 + -11s)' equal to zero and attempt to solve: Simplifying -5 + -11s = 0 Solving -5 + -11s = 0 Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -11s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -11s = 0 + 5 -11s = 0 + 5 Combine like terms: 0 + 5 = 5 -11s = 5 Divide each side by '-11'. s = -0.4545454545 Simplifying s = -0.4545454545Subproblem 2
Set the factor '(3 + -1s)' equal to zero and attempt to solve: Simplifying 3 + -1s = 0 Solving 3 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1s = 0 + -3 -1s = 0 + -3 Combine like terms: 0 + -3 = -3 -1s = -3 Divide each side by '-1'. s = 3 Simplifying s = 3Solution
s = {-0.4545454545, 3}
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