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Simplifying s2 = 40 + -3s Solving s2 = 40 + -3s Solving for variable 's'. Reorder the terms: -40 + 3s + s2 = 40 + -3s + -40 + 3s Reorder the terms: -40 + 3s + s2 = 40 + -40 + -3s + 3s Combine like terms: 40 + -40 = 0 -40 + 3s + s2 = 0 + -3s + 3s -40 + 3s + s2 = -3s + 3s Combine like terms: -3s + 3s = 0 -40 + 3s + s2 = 0 Factor a trinomial. (-8 + -1s)(5 + -1s) = 0Subproblem 1
Set the factor '(-8 + -1s)' equal to zero and attempt to solve: Simplifying -8 + -1s = 0 Solving -8 + -1s = 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 + -1s = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1s = 0 + 8 -1s = 0 + 8 Combine like terms: 0 + 8 = 8 -1s = 8 Divide each side by '-1'. s = -8 Simplifying s = -8Subproblem 2
Set the factor '(5 + -1s)' equal to zero and attempt to solve: Simplifying 5 + -1s = 0 Solving 5 + -1s = 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 + -1s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1s = 0 + -5 -1s = 0 + -5 Combine like terms: 0 + -5 = -5 -1s = -5 Divide each side by '-1'. s = 5 Simplifying s = 5Solution
s = {-8, 5}
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