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Simplifying 9 = s(s + -8) Reorder the terms: 9 = s(-8 + s) 9 = (-8 * s + s * s) 9 = (-8s + s2) Solving 9 = -8s + s2 Solving for variable 's'. Reorder the terms: 9 + 8s + -1s2 = -8s + 8s + s2 + -1s2 Combine like terms: -8s + 8s = 0 9 + 8s + -1s2 = 0 + s2 + -1s2 9 + 8s + -1s2 = s2 + -1s2 Combine like terms: s2 + -1s2 = 0 9 + 8s + -1s2 = 0 Factor a trinomial. (9 + -1s)(1 + s) = 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 '(1 + s)' equal to zero and attempt to solve: Simplifying 1 + s = 0 Solving 1 + s = 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 + s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s = 0 + -1 s = 0 + -1 Combine like terms: 0 + -1 = -1 s = -1 Simplifying s = -1Solution
s = {9, -1}
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