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Simplifying 9s3 + -27s2 + 8s = -12s Reorder the terms: 8s + -27s2 + 9s3 = -12s Solving 8s + -27s2 + 9s3 = -12s Solving for variable 's'. Reorder the terms: 8s + 12s + -27s2 + 9s3 = -12s + 12s Combine like terms: 8s + 12s = 20s 20s + -27s2 + 9s3 = -12s + 12s Combine like terms: -12s + 12s = 0 20s + -27s2 + 9s3 = 0 Factor out the Greatest Common Factor (GCF), 's'. s(20 + -27s + 9s2) = 0 Factor a trinomial. s((4 + -3s)(5 + -3s)) = 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 '(4 + -3s)' equal to zero and attempt to solve: Simplifying 4 + -3s = 0 Solving 4 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3s = 0 + -4 -3s = 0 + -4 Combine like terms: 0 + -4 = -4 -3s = -4 Divide each side by '-3'. s = 1.333333333 Simplifying s = 1.333333333Subproblem 3
Set the factor '(5 + -3s)' equal to zero and attempt to solve: Simplifying 5 + -3s = 0 Solving 5 + -3s = 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 + -3s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3s = 0 + -5 -3s = 0 + -5 Combine like terms: 0 + -5 = -5 -3s = -5 Divide each side by '-3'. s = 1.666666667 Simplifying s = 1.666666667Solution
s = {0, 1.333333333, 1.666666667}
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