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Simplifying -1s2 = 9 + -6s Solving -1s2 = 9 + -6s Solving for variable 's'. Reorder the terms: -9 + 6s + -1s2 = 9 + -6s + -9 + 6s Reorder the terms: -9 + 6s + -1s2 = 9 + -9 + -6s + 6s Combine like terms: 9 + -9 = 0 -9 + 6s + -1s2 = 0 + -6s + 6s -9 + 6s + -1s2 = -6s + 6s Combine like terms: -6s + 6s = 0 -9 + 6s + -1s2 = 0 Factor a trinomial. (-3 + s)(3 + -1s) = 0Subproblem 1
Set the factor '(-3 + s)' equal to zero and attempt to solve: Simplifying -3 + s = 0 Solving -3 + s = 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 + s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + s = 0 + 3 s = 0 + 3 Combine like terms: 0 + 3 = 3 s = 3 Simplifying s = 3Subproblem 2
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 = 3Solution
s = {3, 3}
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