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Simplifying 0 = s2 + 13s + 40 Reorder the terms: 0 = 40 + 13s + s2 Solving 0 = 40 + 13s + s2 Solving for variable 's'. Combine like terms: 0 + -40 = -40 -40 + -13s + -1s2 = 40 + 13s + s2 + -40 + -13s + -1s2 Reorder the terms: -40 + -13s + -1s2 = 40 + -40 + 13s + -13s + s2 + -1s2 Combine like terms: 40 + -40 = 0 -40 + -13s + -1s2 = 0 + 13s + -13s + s2 + -1s2 -40 + -13s + -1s2 = 13s + -13s + s2 + -1s2 Combine like terms: 13s + -13s = 0 -40 + -13s + -1s2 = 0 + s2 + -1s2 -40 + -13s + -1s2 = s2 + -1s2 Combine like terms: s2 + -1s2 = 0 -40 + -13s + -1s2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(40 + 13s + s2) = 0 Factor a trinomial. -1((8 + s)(5 + s)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(8 + s)' equal to zero and attempt to solve: Simplifying 8 + s = 0 Solving 8 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + s = 0 + -8 s = 0 + -8 Combine like terms: 0 + -8 = -8 s = -8 Simplifying s = -8Subproblem 2
Set the factor '(5 + s)' equal to zero and attempt to solve: Simplifying 5 + s = 0 Solving 5 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + s = 0 + -5 s = 0 + -5 Combine like terms: 0 + -5 = -5 s = -5 Simplifying s = -5Solution
s = {-8, -5}
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