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Simplifying 36s3 + -30s2 + 4s = 0 Reorder the terms: 4s + -30s2 + 36s3 = 0 Solving 4s + -30s2 + 36s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2s'. 2s(2 + -15s + 18s2) = 0 Factor a trinomial. 2s((1 + -6s)(2 + -3s)) = 0 Ignore the factor 2.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 '(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 = 0.6666666667Solution
s = {0, 0.1666666667, 0.6666666667}
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