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Simplifying s2 + 17s + -18 = 0 Reorder the terms: -18 + 17s + s2 = 0 Solving -18 + 17s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-18 + -1s)(1 + -1s) = 0Subproblem 1
Set the factor '(-18 + -1s)' equal to zero and attempt to solve: Simplifying -18 + -1s = 0 Solving -18 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1s = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1s = 0 + 18 -1s = 0 + 18 Combine like terms: 0 + 18 = 18 -1s = 18 Divide each side by '-1'. s = -18 Simplifying s = -18Subproblem 2
Set the factor '(1 + -1s)' equal to zero and attempt to solve: Simplifying 1 + -1s = 0 Solving 1 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1s = 0 + -1 -1s = 0 + -1 Combine like terms: 0 + -1 = -1 -1s = -1 Divide each side by '-1'. s = 1 Simplifying s = 1Solution
s = {-18, 1}
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