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Simplifying 18s3 + 15s2 + -63s = 0 Reorder the terms: -63s + 15s2 + 18s3 = 0 Solving -63s + 15s2 + 18s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3s'. 3s(-21 + 5s + 6s2) = 0 Factor a trinomial. 3s((-7 + -3s)(3 + -2s)) = 0 Ignore the factor 3.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 '(-7 + -3s)' equal to zero and attempt to solve: Simplifying -7 + -3s = 0 Solving -7 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3s = 0 + 7 -3s = 0 + 7 Combine like terms: 0 + 7 = 7 -3s = 7 Divide each side by '-3'. s = -2.333333333 Simplifying s = -2.333333333Subproblem 3
Set the factor '(3 + -2s)' equal to zero and attempt to solve: Simplifying 3 + -2s = 0 Solving 3 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2s = 0 + -3 -2s = 0 + -3 Combine like terms: 0 + -3 = -3 -2s = -3 Divide each side by '-2'. s = 1.5 Simplifying s = 1.5Solution
s = {0, -2.333333333, 1.5}
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