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Simplifying 10s3 + -30s2 = 0 Reorder the terms: -30s2 + 10s3 = 0 Solving -30s2 + 10s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '10s2'. 10s2(-3 + s) = 0 Ignore the factor 10.Subproblem 1
Set the factor 's2' equal to zero and attempt to solve: Simplifying s2 = 0 Solving s2 = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s2 = 0 Take the square root of each side: s = {0}Subproblem 2
Set the factor '(-3 + s)' equal to zero and attempt to solve: Simplifying -3 + s = 0 Solving -3 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + s = 0 + 3 s = 0 + 3 Combine like terms: 0 + 3 = 3 s = 3 Simplifying s = 3Solution
s = {0, 3}
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