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Simplifying s(11 + -1s) = 24 (11 * s + -1s * s) = 24 (11s + -1s2) = 24 Solving 11s + -1s2 = 24 Solving for variable 's'. Reorder the terms: -24 + 11s + -1s2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 11s + -1s2 = 0 Factor a trinomial. (-8 + s)(3 + -1s) = 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 + -1s)' equal to zero and attempt to solve: Simplifying 3 + -1s = 0 Solving 3 + -1s = 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 + -1s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1s = 0 + -3 -1s = 0 + -3 Combine like terms: 0 + -3 = -3 -1s = -3 Divide each side by '-1'. s = 3 Simplifying s = 3Solution
s = {8, 3}
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