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Simplifying 72s3 + -108s2 + 16s = 0 Reorder the terms: 16s + -108s2 + 72s3 = 0 Solving 16s + -108s2 + 72s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4s'. 4s(4 + -27s + 18s2) = 0 Factor a trinomial. 4s((1 + -6s)(4 + -3s)) = 0 Ignore the factor 4.Subproblem 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 '(1 + -6s)' equal to zero and attempt to solve: Simplifying 1 + -6s = 0 Solving 1 + -6s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6s = 0 + -1 -6s = 0 + -1 Combine like terms: 0 + -1 = -1 -6s = -1 Divide each side by '-6'. s = 0.1666666667 Simplifying s = 0.1666666667Subproblem 3
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 = 1.333333333Solution
s = {0, 0.1666666667, 1.333333333}
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