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Simplifying 169 = s2 + 6s + 9 Reorder the terms: 169 = 9 + 6s + s2 Solving 169 = 9 + 6s + s2 Solving for variable 's'. Combine like terms: 169 + -9 = 160 160 + -6s + -1s2 = 9 + 6s + s2 + -9 + -6s + -1s2 Reorder the terms: 160 + -6s + -1s2 = 9 + -9 + 6s + -6s + s2 + -1s2 Combine like terms: 9 + -9 = 0 160 + -6s + -1s2 = 0 + 6s + -6s + s2 + -1s2 160 + -6s + -1s2 = 6s + -6s + s2 + -1s2 Combine like terms: 6s + -6s = 0 160 + -6s + -1s2 = 0 + s2 + -1s2 160 + -6s + -1s2 = s2 + -1s2 Combine like terms: s2 + -1s2 = 0 160 + -6s + -1s2 = 0 Factor a trinomial. (10 + -1s)(16 + s) = 0Subproblem 1
Set the factor '(10 + -1s)' equal to zero and attempt to solve: Simplifying 10 + -1s = 0 Solving 10 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1s = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1s = 0 + -10 -1s = 0 + -10 Combine like terms: 0 + -10 = -10 -1s = -10 Divide each side by '-1'. s = 10 Simplifying s = 10Subproblem 2
Set the factor '(16 + s)' equal to zero and attempt to solve: Simplifying 16 + s = 0 Solving 16 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + s = 0 + -16 Combine like terms: 16 + -16 = 0 0 + s = 0 + -16 s = 0 + -16 Combine like terms: 0 + -16 = -16 s = -16 Simplifying s = -16Solution
s = {10, -16}
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