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Simplifying s2 = 8s + -16 Reorder the terms: s2 = -16 + 8s Solving s2 = -16 + 8s Solving for variable 's'. Reorder the terms: 16 + -8s + s2 = -16 + 8s + 16 + -8s Reorder the terms: 16 + -8s + s2 = -16 + 16 + 8s + -8s Combine like terms: -16 + 16 = 0 16 + -8s + s2 = 0 + 8s + -8s 16 + -8s + s2 = 8s + -8s Combine like terms: 8s + -8s = 0 16 + -8s + s2 = 0 Factor a trinomial. (4 + -1s)(4 + -1s) = 0Subproblem 1
Set the factor '(4 + -1s)' equal to zero and attempt to solve: Simplifying 4 + -1s = 0 Solving 4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1s = 0 + -4 -1s = 0 + -4 Combine like terms: 0 + -4 = -4 -1s = -4 Divide each side by '-1'. s = 4 Simplifying s = 4Subproblem 2
Set the factor '(4 + -1s)' equal to zero and attempt to solve: Simplifying 4 + -1s = 0 Solving 4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1s = 0 + -4 -1s = 0 + -4 Combine like terms: 0 + -4 = -4 -1s = -4 Divide each side by '-1'. s = 4 Simplifying s = 4Solution
s = {4, 4}
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