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Simplifying s2 = -24 + -11s Solving s2 = -24 + -11s Solving for variable 's'. Reorder the terms: 24 + 11s + s2 = -24 + -11s + 24 + 11s Reorder the terms: 24 + 11s + s2 = -24 + 24 + -11s + 11s Combine like terms: -24 + 24 = 0 24 + 11s + s2 = 0 + -11s + 11s 24 + 11s + s2 = -11s + 11s Combine like terms: -11s + 11s = 0 24 + 11s + s2 = 0 Factor a trinomial. (8 + s)(3 + s) = 0Subproblem 1
Set the factor '(8 + s)' equal to zero and attempt to solve: Simplifying 8 + s = 0 Solving 8 + s = 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 + s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + s = 0 + -8 s = 0 + -8 Combine like terms: 0 + -8 = -8 s = -8 Simplifying s = -8Subproblem 2
Set the factor '(3 + s)' equal to zero and attempt to solve: Simplifying 3 + s = 0 Solving 3 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + s = 0 + -3 s = 0 + -3 Combine like terms: 0 + -3 = -3 s = -3 Simplifying s = -3Solution
s = {-8, -3}
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