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Simplifying 24 = s(s + -5) Reorder the terms: 24 = s(-5 + s) 24 = (-5 * s + s * s) 24 = (-5s + s2) Solving 24 = -5s + s2 Solving for variable 's'. Reorder the terms: 24 + 5s + -1s2 = -5s + 5s + s2 + -1s2 Combine like terms: -5s + 5s = 0 24 + 5s + -1s2 = 0 + s2 + -1s2 24 + 5s + -1s2 = s2 + -1s2 Combine like terms: s2 + -1s2 = 0 24 + 5s + -1s2 = 0 Factor a trinomial. (8 + -1s)(3 + s) = 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 '(3 + s)' equal to zero and attempt to solve: Simplifying 3 + s = 0 Solving 3 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + s = 0 + -3 s = 0 + -3 Combine like terms: 0 + -3 = -3 s = -3 Simplifying s = -3Solution
s = {8, -3}
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