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Simplifying s2 = -30 + -11s Solving s2 = -30 + -11s Solving for variable 's'. Reorder the terms: 30 + 11s + s2 = -30 + -11s + 30 + 11s Reorder the terms: 30 + 11s + s2 = -30 + 30 + -11s + 11s Combine like terms: -30 + 30 = 0 30 + 11s + s2 = 0 + -11s + 11s 30 + 11s + s2 = -11s + 11s Combine like terms: -11s + 11s = 0 30 + 11s + s2 = 0 Factor a trinomial. (6 + s)(5 + s) = 0Subproblem 1
Set the factor '(6 + s)' equal to zero and attempt to solve: Simplifying 6 + s = 0 Solving 6 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + s = 0 + -6 Combine like terms: 6 + -6 = 0 0 + s = 0 + -6 s = 0 + -6 Combine like terms: 0 + -6 = -6 s = -6 Simplifying s = -6Subproblem 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 = {-6, -5}
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