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Simplifying 25s2 + 6 = 40s + 6 Reorder the terms: 6 + 25s2 = 40s + 6 Reorder the terms: 6 + 25s2 = 6 + 40s Add '-6' to each side of the equation. 6 + -6 + 25s2 = 6 + -6 + 40s Combine like terms: 6 + -6 = 0 0 + 25s2 = 6 + -6 + 40s 25s2 = 6 + -6 + 40s Combine like terms: 6 + -6 = 0 25s2 = 0 + 40s 25s2 = 40s Solving 25s2 = 40s Solving for variable 's'. Reorder the terms: -40s + 25s2 = 40s + -40s Combine like terms: 40s + -40s = 0 -40s + 25s2 = 0 Factor out the Greatest Common Factor (GCF), '5s'. 5s(-8 + 5s) = 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 '(-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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