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Simplifying 18s3 + -27s2 + 10s = 0 Reorder the terms: 10s + -27s2 + 18s3 = 0 Solving 10s + -27s2 + 18s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(10 + -27s + 18s2) = 0 Factor a trinomial. s((2 + -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 '(2 + -3s)' equal to zero and attempt to solve: Simplifying 2 + -3s = 0 Solving 2 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3s = 0 + -2 -3s = 0 + -2 Combine like terms: 0 + -2 = -2 -3s = -2 Divide each side by '-3'. s = 0.6666666667 Simplifying s = 0.6666666667Subproblem 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, 0.6666666667, 0.8333333333}
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