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Simplifying 2s2 + -9s + -18s + 81 = 0 Reorder the terms: 81 + -9s + -18s + 2s2 = 0 Combine like terms: -9s + -18s = -27s 81 + -27s + 2s2 = 0 Solving 81 + -27s + 2s2 = 0 Solving for variable 's'. Factor a trinomial. (9 + -2s)(9 + -1s) = 0Subproblem 1
Set the factor '(9 + -2s)' equal to zero and attempt to solve: Simplifying 9 + -2s = 0 Solving 9 + -2s = 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 + -2s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2s = 0 + -9 -2s = 0 + -9 Combine like terms: 0 + -9 = -9 -2s = -9 Divide each side by '-2'. s = 4.5 Simplifying s = 4.5Subproblem 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 = {4.5, 9}
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