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Simplifying s2 + 11s + 17 = s + -8 Reorder the terms: 17 + 11s + s2 = s + -8 Reorder the terms: 17 + 11s + s2 = -8 + s Solving 17 + 11s + s2 = -8 + s Solving for variable 's'. Reorder the terms: 17 + 8 + 11s + -1s + s2 = -8 + s + 8 + -1s Combine like terms: 17 + 8 = 25 25 + 11s + -1s + s2 = -8 + s + 8 + -1s Combine like terms: 11s + -1s = 10s 25 + 10s + s2 = -8 + s + 8 + -1s Reorder the terms: 25 + 10s + s2 = -8 + 8 + s + -1s Combine like terms: -8 + 8 = 0 25 + 10s + s2 = 0 + s + -1s 25 + 10s + s2 = s + -1s Combine like terms: s + -1s = 0 25 + 10s + s2 = 0 Factor a trinomial. (5 + s)(5 + s) = 0Subproblem 1
Set the factor '(5 + s)' equal to zero and attempt to solve: Simplifying 5 + s = 0 Solving 5 + s = 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 + s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + s = 0 + -5 s = 0 + -5 Combine like terms: 0 + -5 = -5 s = -5 Simplifying s = -5Subproblem 2
Set the factor '(5 + s)' equal to zero and attempt to solve: Simplifying 5 + s = 0 Solving 5 + s = 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 + s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + s = 0 + -5 s = 0 + -5 Combine like terms: 0 + -5 = -5 s = -5 Simplifying s = -5Solution
s = {-5, -5}
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