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Simplifying 8s3 = 8s Solving 8s3 = 8s Solving for variable 's'. Reorder the terms: -8s + 8s3 = 8s + -8s Combine like terms: 8s + -8s = 0 -8s + 8s3 = 0 Factor out the Greatest Common Factor (GCF), '8s'. 8s(-1 + s2) = 0 Factor a difference between two squares. 8s((1 + s)(-1 + 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 '(1 + s)' equal to zero and attempt to solve: Simplifying 1 + s = 0 Solving 1 + s = 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 + s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s = 0 + -1 s = 0 + -1 Combine like terms: 0 + -1 = -1 s = -1 Simplifying s = -1Subproblem 3
Set the factor '(-1 + s)' equal to zero and attempt to solve: Simplifying -1 + s = 0 Solving -1 + s = 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 + s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + s = 0 + 1 s = 0 + 1 Combine like terms: 0 + 1 = 1 s = 1 Simplifying s = 1Solution
s = {0, -1, 1}
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