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Simplifying 5s2 + 17s + -40 = 0 Reorder the terms: -40 + 17s + 5s2 = 0 Solving -40 + 17s + 5s2 = 0 Solving for variable 's'. Factor a trinomial. (-5 + -1s)(8 + -5s) = 0Subproblem 1
Set the factor '(-5 + -1s)' equal to zero and attempt to solve: Simplifying -5 + -1s = 0 Solving -5 + -1s = 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 + -1s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1s = 0 + 5 -1s = 0 + 5 Combine like terms: 0 + 5 = 5 -1s = 5 Divide each side by '-1'. s = -5 Simplifying s = -5Subproblem 2
Set the factor '(8 + -5s)' equal to zero and attempt to solve: Simplifying 8 + -5s = 0 Solving 8 + -5s = 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 + -5s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5s = 0 + -8 -5s = 0 + -8 Combine like terms: 0 + -8 = -8 -5s = -8 Divide each side by '-5'. s = 1.6 Simplifying s = 1.6Solution
s = {-5, 1.6}
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