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Simplifying 4s2(s + -6) = 108s Reorder the terms: 4s2(-6 + s) = 108s (-6 * 4s2 + s * 4s2) = 108s (-24s2 + 4s3) = 108s Solving -24s2 + 4s3 = 108s Solving for variable 's'. Reorder the terms: -108s + -24s2 + 4s3 = 108s + -108s Combine like terms: 108s + -108s = 0 -108s + -24s2 + 4s3 = 0 Factor out the Greatest Common Factor (GCF), '4s'. 4s(-27 + -6s + s2) = 0 Factor a trinomial. 4s((-3 + -1s)(9 + -1s)) = 0 Ignore the factor 4.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 + -1s)' equal to zero and attempt to solve: Simplifying -3 + -1s = 0 Solving -3 + -1s = 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 + -1s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1s = 0 + 3 -1s = 0 + 3 Combine like terms: 0 + 3 = 3 -1s = 3 Divide each side by '-1'. s = -3 Simplifying s = -3Subproblem 3
Set the factor '(9 + -1s)' equal to zero and attempt to solve: Simplifying 9 + -1s = 0 Solving 9 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1s = 0 + -9 -1s = 0 + -9 Combine like terms: 0 + -9 = -9 -1s = -9 Divide each side by '-1'. s = 9 Simplifying s = 9Solution
s = {0, -3, 9}
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