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Simplifying s3 + 6s2 + 11s = 0 Reorder the terms: 11s + 6s2 + s3 = 0 Solving 11s + 6s2 + s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(11 + 6s + s2) = 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 + 6s + s2)' equal to zero and attempt to solve: Simplifying 11 + 6s + s2 = 0 Solving 11 + 6s + s2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + 6s + -11 + s2 = 0 + -11 Reorder the terms: 11 + -11 + 6s + s2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6s + s2 = 0 + -11 6s + s2 = 0 + -11 Combine like terms: 0 + -11 = -11 6s + s2 = -11 The s term is 6s. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6s + 9 + s2 = -11 + 9 Reorder the terms: 9 + 6s + s2 = -11 + 9 Combine like terms: -11 + 9 = -2 9 + 6s + s2 = -2 Factor a perfect square on the left side: (s + 3)(s + 3) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
s = {0}
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