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Simplifying 9s(s + 6) = s + -40 Reorder the terms: 9s(6 + s) = s + -40 (6 * 9s + s * 9s) = s + -40 (54s + 9s2) = s + -40 Reorder the terms: 54s + 9s2 = -40 + s Solving 54s + 9s2 = -40 + s Solving for variable 's'. Reorder the terms: 40 + 54s + -1s + 9s2 = -40 + s + 40 + -1s Combine like terms: 54s + -1s = 53s 40 + 53s + 9s2 = -40 + s + 40 + -1s Reorder the terms: 40 + 53s + 9s2 = -40 + 40 + s + -1s Combine like terms: -40 + 40 = 0 40 + 53s + 9s2 = 0 + s + -1s 40 + 53s + 9s2 = s + -1s Combine like terms: s + -1s = 0 40 + 53s + 9s2 = 0 Factor a trinomial. (5 + s)(8 + 9s) = 0Subproblem 1
Set the factor '(5 + s)' equal to zero and attempt to solve: Simplifying 5 + s = 0 Solving 5 + s = 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 + s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + s = 0 + -5 s = 0 + -5 Combine like terms: 0 + -5 = -5 s = -5 Simplifying s = -5Subproblem 2
Set the factor '(8 + 9s)' equal to zero and attempt to solve: Simplifying 8 + 9s = 0 Solving 8 + 9s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9s = 0 + -8 9s = 0 + -8 Combine like terms: 0 + -8 = -8 9s = -8 Divide each side by '9'. s = -0.8888888889 Simplifying s = -0.8888888889Solution
s = {-5, -0.8888888889}
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