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Simplifying 5s2 = 8s Solving 5s2 = 8s Solving for variable 's'. Reorder the terms: -8s + 5s2 = 8s + -8s Combine like terms: 8s + -8s = 0 -8s + 5s2 = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-8 + 5s) = 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 '(-8 + 5s)' equal to zero and attempt to solve: Simplifying -8 + 5s = 0 Solving -8 + 5s = 0 Move all terms containing s to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5s = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5s = 0 + 8 5s = 0 + 8 Combine like terms: 0 + 8 = 8 5s = 8 Divide each side by '5'. s = 1.6 Simplifying s = 1.6Solution
s = {0, 1.6}
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