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Simplifying 45s2 + -40s + 18s + -16 = 0 Reorder the terms: -16 + -40s + 18s + 45s2 = 0 Combine like terms: -40s + 18s = -22s -16 + -22s + 45s2 = 0 Solving -16 + -22s + 45s2 = 0 Solving for variable 's'. Factor a trinomial. (-2 + -5s)(8 + -9s) = 0Subproblem 1
Set the factor '(-2 + -5s)' equal to zero and attempt to solve: Simplifying -2 + -5s = 0 Solving -2 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5s = 0 + 2 -5s = 0 + 2 Combine like terms: 0 + 2 = 2 -5s = 2 Divide each side by '-5'. s = -0.4 Simplifying s = -0.4Subproblem 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 = {-0.4, 0.8888888889}
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