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Simplifying 10s2 = 40s Solving 10s2 = 40s Solving for variable 's'. Reorder the terms: -40s + 10s2 = 40s + -40s Combine like terms: 40s + -40s = 0 -40s + 10s2 = 0 Factor out the Greatest Common Factor (GCF), '10s'. 10s(-4 + s) = 0 Ignore the factor 10.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 '(-4 + s)' equal to zero and attempt to solve: Simplifying -4 + s = 0 Solving -4 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + s = 0 + 4 s = 0 + 4 Combine like terms: 0 + 4 = 4 s = 4 Simplifying s = 4Solution
s = {0, 4}
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