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Simplifying s2 + 26s + 169 = 121 Reorder the terms: 169 + 26s + s2 = 121 Solving 169 + 26s + s2 = 121 Solving for variable 's'. Reorder the terms: 169 + -121 + 26s + s2 = 121 + -121 Combine like terms: 169 + -121 = 48 48 + 26s + s2 = 121 + -121 Combine like terms: 121 + -121 = 0 48 + 26s + s2 = 0 Factor a trinomial. (24 + s)(2 + s) = 0Subproblem 1
Set the factor '(24 + s)' equal to zero and attempt to solve: Simplifying 24 + s = 0 Solving 24 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + s = 0 + -24 Combine like terms: 24 + -24 = 0 0 + s = 0 + -24 s = 0 + -24 Combine like terms: 0 + -24 = -24 s = -24 Simplifying s = -24Subproblem 2
Set the factor '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Simplifying s = -2Solution
s = {-24, -2}
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