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Simplifying 20s3 + 65s + -60s = 0 Reorder the terms: 65s + -60s + 20s3 = 0 Combine like terms: 65s + -60s = 5s 5s + 20s3 = 0 Solving 5s + 20s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5s'. 5s(1 + 4s2) = 0 Ignore the factor 5.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 + 4s2)' equal to zero and attempt to solve: Simplifying 1 + 4s2 = 0 Solving 1 + 4s2 = 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 + 4s2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4s2 = 0 + -1 4s2 = 0 + -1 Combine like terms: 0 + -1 = -1 4s2 = -1 Divide each side by '4'. s2 = -0.25 Simplifying s2 = -0.25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
s = {0}
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