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Simplifying s2 + -2s = 24 + 3s Reorder the terms: -2s + s2 = 24 + 3s Solving -2s + s2 = 24 + 3s Solving for variable 's'. Reorder the terms: -24 + -2s + -3s + s2 = 24 + 3s + -24 + -3s Combine like terms: -2s + -3s = -5s -24 + -5s + s2 = 24 + 3s + -24 + -3s Reorder the terms: -24 + -5s + s2 = 24 + -24 + 3s + -3s Combine like terms: 24 + -24 = 0 -24 + -5s + s2 = 0 + 3s + -3s -24 + -5s + s2 = 3s + -3s Combine like terms: 3s + -3s = 0 -24 + -5s + s2 = 0 Factor a trinomial. (-3 + -1s)(8 + -1s) = 0Subproblem 1
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 = -3Subproblem 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 = {-3, 8}
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