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Simplifying s2 + -10s + -171 = 0 Reorder the terms: -171 + -10s + s2 = 0 Solving -171 + -10s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-9 + -1s)(19 + -1s) = 0Subproblem 1
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 = -9Subproblem 2
Set the factor '(19 + -1s)' equal to zero and attempt to solve: Simplifying 19 + -1s = 0 Solving 19 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1s = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1s = 0 + -19 -1s = 0 + -19 Combine like terms: 0 + -19 = -19 -1s = -19 Divide each side by '-1'. s = 19 Simplifying s = 19Solution
s = {-9, 19}
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