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Simplifying 18s3 + 39s2 + 36s = 16s Reorder the terms: 36s + 39s2 + 18s3 = 16s Solving 36s + 39s2 + 18s3 = 16s Solving for variable 's'. Reorder the terms: 36s + -16s + 39s2 + 18s3 = 16s + -16s Combine like terms: 36s + -16s = 20s 20s + 39s2 + 18s3 = 16s + -16s Combine like terms: 16s + -16s = 0 20s + 39s2 + 18s3 = 0 Factor out the Greatest Common Factor (GCF), 's'. s(20 + 39s + 18s2) = 0 Factor a trinomial. s((4 + 3s)(5 + 6s)) = 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 + 6s)' equal to zero and attempt to solve: Simplifying 5 + 6s = 0 Solving 5 + 6s = 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 + 6s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6s = 0 + -5 6s = 0 + -5 Combine like terms: 0 + -5 = -5 6s = -5 Divide each side by '6'. s = -0.8333333333 Simplifying s = -0.8333333333Solution
s = {0, -1.333333333, -0.8333333333}
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