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Simplifying -1s2 = 81 + -18s Solving -1s2 = 81 + -18s Solving for variable 's'. Reorder the terms: -81 + 18s + -1s2 = 81 + -18s + -81 + 18s Reorder the terms: -81 + 18s + -1s2 = 81 + -81 + -18s + 18s Combine like terms: 81 + -81 = 0 -81 + 18s + -1s2 = 0 + -18s + 18s -81 + 18s + -1s2 = -18s + 18s Combine like terms: -18s + 18s = 0 -81 + 18s + -1s2 = 0 Factor a trinomial. (-9 + s)(9 + -1s) = 0Subproblem 1
Set the factor '(-9 + s)' equal to zero and attempt to solve: Simplifying -9 + s = 0 Solving -9 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + s = 0 + 9 Combine like terms: -9 + 9 = 0 0 + s = 0 + 9 s = 0 + 9 Combine like terms: 0 + 9 = 9 s = 9 Simplifying s = 9Subproblem 2
Set the factor '(9 + -1s)' equal to zero and attempt to solve: Simplifying 9 + -1s = 0 Solving 9 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1s = 0 + -9 -1s = 0 + -9 Combine like terms: 0 + -9 = -9 -1s = -9 Divide each side by '-1'. s = 9 Simplifying s = 9Solution
s = {9, 9}
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