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Simplifying 12 + 11s + 2s2 = 228 Solving 12 + 11s + 2s2 = 228 Solving for variable 's'. Reorder the terms: 12 + -228 + 11s + 2s2 = 228 + -228 Combine like terms: 12 + -228 = -216 -216 + 11s + 2s2 = 228 + -228 Combine like terms: 228 + -228 = 0 -216 + 11s + 2s2 = 0 Factor a trinomial. (-27 + -2s)(8 + -1s) = 0Subproblem 1
Set the factor '(-27 + -2s)' equal to zero and attempt to solve: Simplifying -27 + -2s = 0 Solving -27 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -2s = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -2s = 0 + 27 -2s = 0 + 27 Combine like terms: 0 + 27 = 27 -2s = 27 Divide each side by '-2'. s = -13.5 Simplifying s = -13.5Subproblem 2
Set the factor '(8 + -1s)' equal to zero and attempt to solve: Simplifying 8 + -1s = 0 Solving 8 + -1s = 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 + -1s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1s = 0 + -8 -1s = 0 + -8 Combine like terms: 0 + -8 = -8 -1s = -8 Divide each side by '-1'. s = 8 Simplifying s = 8Solution
s = {-13.5, 8}
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