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Simplifying 9s2 + -9s + -40 = 0 Reorder the terms: -40 + -9s + 9s2 = 0 Solving -40 + -9s + 9s2 = 0 Solving for variable 's'. Factor a trinomial. (-5 + -3s)(8 + -3s) = 0Subproblem 1
Set the factor '(-5 + -3s)' equal to zero and attempt to solve: Simplifying -5 + -3s = 0 Solving -5 + -3s = 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 + -3s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3s = 0 + 5 -3s = 0 + 5 Combine like terms: 0 + 5 = 5 -3s = 5 Divide each side by '-3'. s = -1.666666667 Simplifying s = -1.666666667Subproblem 2
Set the factor '(8 + -3s)' equal to zero and attempt to solve: Simplifying 8 + -3s = 0 Solving 8 + -3s = 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 + -3s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3s = 0 + -8 -3s = 0 + -8 Combine like terms: 0 + -8 = -8 -3s = -8 Divide each side by '-3'. s = 2.666666667 Simplifying s = 2.666666667Solution
s = {-1.666666667, 2.666666667}
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