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Simplifying 64s3 + -1s = 0 Reorder the terms: -1s + 64s3 = 0 Solving -1s + 64s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(-1 + 64s2) = 0 Factor a difference between two squares. s((1 + 8s)(-1 + 8s)) = 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 '(1 + 8s)' equal to zero and attempt to solve: Simplifying 1 + 8s = 0 Solving 1 + 8s = 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 + 8s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8s = 0 + -1 8s = 0 + -1 Combine like terms: 0 + -1 = -1 8s = -1 Divide each side by '8'. s = -0.125 Simplifying s = -0.125Subproblem 3
Set the factor '(-1 + 8s)' equal to zero and attempt to solve: Simplifying -1 + 8s = 0 Solving -1 + 8s = 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 + 8s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8s = 0 + 1 8s = 0 + 1 Combine like terms: 0 + 1 = 1 8s = 1 Divide each side by '8'. s = 0.125 Simplifying s = 0.125Solution
s = {0, -0.125, 0.125}
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