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Simplifying 10s2 + -4s = 2s Reorder the terms: -4s + 10s2 = 2s Solving -4s + 10s2 = 2s Solving for variable 's'. Reorder the terms: -4s + -2s + 10s2 = 2s + -2s Combine like terms: -4s + -2s = -6s -6s + 10s2 = 2s + -2s Combine like terms: 2s + -2s = 0 -6s + 10s2 = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(-3 + 5s) = 0 Ignore the factor 2.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 '(-3 + 5s)' equal to zero and attempt to solve: Simplifying -3 + 5s = 0 Solving -3 + 5s = 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 + 5s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5s = 0 + 3 5s = 0 + 3 Combine like terms: 0 + 3 = 3 5s = 3 Divide each side by '5'. s = 0.6 Simplifying s = 0.6Solution
s = {0, 0.6}
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