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Simplifying 8s3 = 72s Solving 8s3 = 72s Solving for variable 's'. Reorder the terms: -72s + 8s3 = 72s + -72s Combine like terms: 72s + -72s = 0 -72s + 8s3 = 0 Factor out the Greatest Common Factor (GCF), '8s'. 8s(-9 + s2) = 0 Factor a difference between two squares. 8s((3 + s)(-3 + 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 '(3 + s)' equal to zero and attempt to solve: Simplifying 3 + s = 0 Solving 3 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + s = 0 + -3 s = 0 + -3 Combine like terms: 0 + -3 = -3 s = -3 Simplifying s = -3Subproblem 3
Set the factor '(-3 + s)' equal to zero and attempt to solve: Simplifying -3 + s = 0 Solving -3 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + s = 0 + 3 s = 0 + 3 Combine like terms: 0 + 3 = 3 s = 3 Simplifying s = 3Solution
s = {0, -3, 3}
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