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Simplifying 5s2 = 25s Solving 5s2 = 25s Solving for variable 's'. Reorder the terms: -25s + 5s2 = 25s + -25s Combine like terms: 25s + -25s = 0 -25s + 5s2 = 0 Factor out the Greatest Common Factor (GCF), '5s'. 5s(-5 + s) = 0 Ignore the factor 5.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 '(-5 + s)' equal to zero and attempt to solve: Simplifying -5 + s = 0 Solving -5 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + s = 0 + 5 s = 0 + 5 Combine like terms: 0 + 5 = 5 s = 5 Simplifying s = 5Solution
s = {0, 5}
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