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Simplifying s2 + -20s + 36 = 0 Reorder the terms: 36 + -20s + s2 = 0 Solving 36 + -20s + s2 = 0 Solving for variable 's'. Factor a trinomial. (2 + -1s)(18 + -1s) = 0Subproblem 1
Set the factor '(2 + -1s)' equal to zero and attempt to solve: Simplifying 2 + -1s = 0 Solving 2 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1s = 0 + -2 -1s = 0 + -2 Combine like terms: 0 + -2 = -2 -1s = -2 Divide each side by '-1'. s = 2 Simplifying s = 2Subproblem 2
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 = 18Solution
s = {2, 18}
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