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Simplifying s2 + 33s + 140 = 0 Reorder the terms: 140 + 33s + s2 = 0 Solving 140 + 33s + s2 = 0 Solving for variable 's'. Factor a trinomial. (28 + s)(5 + s) = 0Subproblem 1
Set the factor '(28 + s)' equal to zero and attempt to solve: Simplifying 28 + s = 0 Solving 28 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + s = 0 + -28 Combine like terms: 28 + -28 = 0 0 + s = 0 + -28 s = 0 + -28 Combine like terms: 0 + -28 = -28 s = -28 Simplifying s = -28Subproblem 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 = {-28, -5}
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