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Simplifying 6s2 + -14s = 0 Reorder the terms: -14s + 6s2 = 0 Solving -14s + 6s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2s'. 2s(-7 + 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 '(-7 + 3s)' equal to zero and attempt to solve: Simplifying -7 + 3s = 0 Solving -7 + 3s = 0 Move all terms containing s to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3s = 0 + 7 3s = 0 + 7 Combine like terms: 0 + 7 = 7 3s = 7 Divide each side by '3'. s = 2.333333333 Simplifying s = 2.333333333Solution
s = {0, 2.333333333}
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