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Simplifying 9s2 + 45s + -1s + 32 = 0 Reorder the terms: 32 + 45s + -1s + 9s2 = 0 Combine like terms: 45s + -1s = 44s 32 + 44s + 9s2 = 0 Solving 32 + 44s + 9s2 = 0 Solving for variable 's'. Factor a trinomial. (4 + s)(8 + 9s) = 0Subproblem 1
Set the factor '(4 + s)' equal to zero and attempt to solve: Simplifying 4 + s = 0 Solving 4 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + s = 0 + -4 s = 0 + -4 Combine like terms: 0 + -4 = -4 s = -4 Simplifying s = -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 = {-4, -0.8888888889}
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