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Simplifying 6s(4s + -1) = 0 Reorder the terms: 6s(-1 + 4s) = 0 (-1 * 6s + 4s * 6s) = 0 (-6s + 24s2) = 0 Solving -6s + 24s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '6s'. 6s(-1 + 4s) = 0 Ignore the factor 6.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 '(-1 + 4s)' equal to zero and attempt to solve: Simplifying -1 + 4s = 0 Solving -1 + 4s = 0 Move all terms containing s to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4s = 0 + 1 4s = 0 + 1 Combine like terms: 0 + 1 = 1 4s = 1 Divide each side by '4'. s = 0.25 Simplifying s = 0.25Solution
s = {0, 0.25}
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