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Simplifying s2 + -17s + -60 = 0 Reorder the terms: -60 + -17s + s2 = 0 Solving -60 + -17s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-3 + -1s)(20 + -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 '(20 + -1s)' equal to zero and attempt to solve: Simplifying 20 + -1s = 0 Solving 20 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1s = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1s = 0 + -20 -1s = 0 + -20 Combine like terms: 0 + -20 = -20 -1s = -20 Divide each side by '-1'. s = 20 Simplifying s = 20Solution
s = {-3, 20}
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