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Simplifying 3s2 = 10s Solving 3s2 = 10s Solving for variable 's'. Reorder the terms: -10s + 3s2 = 10s + -10s Combine like terms: 10s + -10s = 0 -10s + 3s2 = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-10 + 3s) = 0Subproblem 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 '(-10 + 3s)' equal to zero and attempt to solve: Simplifying -10 + 3s = 0 Solving -10 + 3s = 0 Move all terms containing s to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3s = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3s = 0 + 10 3s = 0 + 10 Combine like terms: 0 + 10 = 10 3s = 10 Divide each side by '3'. s = 3.333333333 Simplifying s = 3.333333333Solution
s = {0, 3.333333333}
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