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Simplifying S2 = -40 + -13S Solving S2 = -40 + -13S Solving for variable 'S'. Reorder the terms: 40 + 13S + S2 = -40 + -13S + 40 + 13S Reorder the terms: 40 + 13S + S2 = -40 + 40 + -13S + 13S Combine like terms: -40 + 40 = 0 40 + 13S + S2 = 0 + -13S + 13S 40 + 13S + S2 = -13S + 13S Combine like terms: -13S + 13S = 0 40 + 13S + S2 = 0 Factor a trinomial. (8 + S)(5 + S) = 0Subproblem 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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