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Simplifying 4s3 + -28s2 = 32s Reorder the terms: -28s2 + 4s3 = 32s Solving -28s2 + 4s3 = 32s Solving for variable 's'. Reorder the terms: -32s + -28s2 + 4s3 = 32s + -32s Combine like terms: 32s + -32s = 0 -32s + -28s2 + 4s3 = 0 Factor out the Greatest Common Factor (GCF), '4s'. 4s(-8 + -7s + s2) = 0 Factor a trinomial. 4s((-1 + -1s)(8 + -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 '(-1 + -1s)' equal to zero and attempt to solve: Simplifying -1 + -1s = 0 Solving -1 + -1s = 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 + -1s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1s = 0 + 1 -1s = 0 + 1 Combine like terms: 0 + 1 = 1 -1s = 1 Divide each side by '-1'. s = -1 Simplifying s = -1Subproblem 3
Set the factor '(8 + -1s)' equal to zero and attempt to solve: Simplifying 8 + -1s = 0 Solving 8 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1s = 0 + -8 -1s = 0 + -8 Combine like terms: 0 + -8 = -8 -1s = -8 Divide each side by '-1'. s = 8 Simplifying s = 8Solution
s = {0, -1, 8}
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