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Simplifying 6s2 + -8s = 0 Reorder the terms: -8s + 6s2 = 0 Solving -8s + 6s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2s'. 2s(-4 + 3s) = 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 '(-4 + 3s)' equal to zero and attempt to solve: Simplifying -4 + 3s = 0 Solving -4 + 3s = 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 + 3s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3s = 0 + 4 3s = 0 + 4 Combine like terms: 0 + 4 = 4 3s = 4 Divide each side by '3'. s = 1.333333333 Simplifying s = 1.333333333Solution
s = {0, 1.333333333}
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