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Simplifying 8s3 + -128s = 0 Reorder the terms: -128s + 8s3 = 0 Solving -128s + 8s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '8s'. 8s(-16 + s2) = 0 Factor a difference between two squares. 8s((4 + s)(-4 + s)) = 0 Ignore the factor 8.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 '(4 + s)' equal to zero and attempt to solve: Simplifying 4 + s = 0 Solving 4 + s = 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 + s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + s = 0 + -4 s = 0 + -4 Combine like terms: 0 + -4 = -4 s = -4 Simplifying s = -4Subproblem 3
Set the factor '(-4 + s)' equal to zero and attempt to solve: Simplifying -4 + s = 0 Solving -4 + s = 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 + s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + s = 0 + 4 s = 0 + 4 Combine like terms: 0 + 4 = 4 s = 4 Simplifying s = 4Solution
s = {0, -4, 4}
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