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Simplifying -1s2 + -11s + 26 = 0 Reorder the terms: 26 + -11s + -1s2 = 0 Solving 26 + -11s + -1s2 = 0 Solving for variable 's'. Factor a trinomial. (2 + -1s)(13 + s) = 0Subproblem 1
Set the factor '(2 + -1s)' equal to zero and attempt to solve: Simplifying 2 + -1s = 0 Solving 2 + -1s = 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 + -1s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1s = 0 + -2 -1s = 0 + -2 Combine like terms: 0 + -2 = -2 -1s = -2 Divide each side by '-1'. s = 2 Simplifying s = 2Subproblem 2
Set the factor '(13 + s)' equal to zero and attempt to solve: Simplifying 13 + s = 0 Solving 13 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + s = 0 + -13 Combine like terms: 13 + -13 = 0 0 + s = 0 + -13 s = 0 + -13 Combine like terms: 0 + -13 = -13 s = -13 Simplifying s = -13Solution
s = {2, -13}
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