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Simplifying 5s(5s) = 25s Remove parenthesis around (5s) 5s * 5s = 25s Reorder the terms for easier multiplication: 5 * 5s * s = 25s Multiply 5 * 5 25s * s = 25s Multiply s * s 25s2 = 25s Solving 25s2 = 25s Solving for variable 's'. Reorder the terms: -25s + 25s2 = 25s + -25s Combine like terms: 25s + -25s = 0 -25s + 25s2 = 0 Factor out the Greatest Common Factor (GCF), '25s'. 25s(-1 + s) = 0 Ignore the factor 25.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 = 1Solution
s = {0, 1}
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