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Simplifying 15s3 = -17s2 + -4s Reorder the terms: 15s3 = -4s + -17s2 Solving 15s3 = -4s + -17s2 Solving for variable 's'. Reorder the terms: 4s + 17s2 + 15s3 = -4s + -17s2 + 4s + 17s2 Reorder the terms: 4s + 17s2 + 15s3 = -4s + 4s + -17s2 + 17s2 Combine like terms: -4s + 4s = 0 4s + 17s2 + 15s3 = 0 + -17s2 + 17s2 4s + 17s2 + 15s3 = -17s2 + 17s2 Combine like terms: -17s2 + 17s2 = 0 4s + 17s2 + 15s3 = 0 Factor out the Greatest Common Factor (GCF), 's'. s(4 + 17s + 15s2) = 0 Factor a trinomial. s((4 + 5s)(1 + 3s)) = 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 + 5s)' equal to zero and attempt to solve: Simplifying 4 + 5s = 0 Solving 4 + 5s = 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 + 5s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5s = 0 + -4 5s = 0 + -4 Combine like terms: 0 + -4 = -4 5s = -4 Divide each side by '5'. s = -0.8 Simplifying s = -0.8Subproblem 3
Set the factor '(1 + 3s)' equal to zero and attempt to solve: Simplifying 1 + 3s = 0 Solving 1 + 3s = 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 + 3s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3s = 0 + -1 3s = 0 + -1 Combine like terms: 0 + -1 = -1 3s = -1 Divide each side by '3'. s = -0.3333333333 Simplifying s = -0.3333333333Solution
s = {0, -0.8, -0.3333333333}
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