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Simplifying S(s + -3)(s + 8) = 0 Reorder the terms: S(-3 + s)(s + 8) = 0 Reorder the terms: S(-3 + s)(8 + s) = 0 Multiply (-3 + s) * (8 + s) S(-3(8 + s) + s(8 + s)) = 0 S((8 * -3 + s * -3) + s(8 + s)) = 0 S((-24 + -3s) + s(8 + s)) = 0 S(-24 + -3s + (8 * s + s * s)) = 0 S(-24 + -3s + (8s + s2)) = 0 Combine like terms: -3s + 8s = 5s S(-24 + 5s + s2) = 0 (-24 * S + 5s * S + s2 * S) = 0 (-24S + 5sS + s2S) = 0 Solving -24S + 5sS + s2S = 0 Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'S'. S(-24 + 5s + s2) = 0 Factor a trinomial. S((-8 + -1s)(3 + -1s)) = 0Subproblem 1
Set the factor 'S' equal to zero and attempt to solve: Simplifying S = 0 Solving S = 0 Move all terms containing S to the left, all other terms to the right. Simplifying S = 0Subproblem 2
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 Add 's' to each side of the equation. -1s + s = 8 + s Combine like terms: -1s + s = 0 0 = 8 + s Simplifying 0 = 8 + s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + -1s)' equal to zero and attempt to solve: Simplifying 3 + -1s = 0 Solving 3 + -1s = 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 + -1s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1s = 0 + -3 -1s = 0 + -3 Combine like terms: 0 + -3 = -3 -1s = -3 Add 's' to each side of the equation. -1s + s = -3 + s Combine like terms: -1s + s = 0 0 = -3 + s Simplifying 0 = -3 + s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
S = {0}
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