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Simplifying s3 + 22s2 + 121s = 0 Reorder the terms: 121s + 22s2 + s3 = 0 Solving 121s + 22s2 + s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(121 + 22s + s2) = 0 Factor a trinomial. s((11 + s)(11 + s)) = 0Subproblem 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 '(11 + s)' equal to zero and attempt to solve: Simplifying 11 + s = 0 Solving 11 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + s = 0 + -11 Combine like terms: 11 + -11 = 0 0 + s = 0 + -11 s = 0 + -11 Combine like terms: 0 + -11 = -11 s = -11 Simplifying s = -11Subproblem 3
Set the factor '(11 + s)' equal to zero and attempt to solve: Simplifying 11 + s = 0 Solving 11 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + s = 0 + -11 Combine like terms: 11 + -11 = 0 0 + s = 0 + -11 s = 0 + -11 Combine like terms: 0 + -11 = -11 s = -11 Simplifying s = -11Solution
s = {0, -11, -11}
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