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Simplifying 16s + -121s3 = 0 Solving 16s + -121s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(16 + -121s2) = 0 Factor a difference between two squares. s((4 + 11s)(4 + -11s)) = 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 '(4 + 11s)' equal to zero and attempt to solve: Simplifying 4 + 11s = 0 Solving 4 + 11s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 11s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 11s = 0 + -4 11s = 0 + -4 Combine like terms: 0 + -4 = -4 11s = -4 Divide each side by '11'. s = -0.3636363636 Simplifying s = -0.3636363636Subproblem 3
Set the factor '(4 + -11s)' equal to zero and attempt to solve: Simplifying 4 + -11s = 0 Solving 4 + -11s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -11s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11s = 0 + -4 -11s = 0 + -4 Combine like terms: 0 + -4 = -4 -11s = -4 Divide each side by '-11'. s = 0.3636363636 Simplifying s = 0.3636363636Solution
s = {0, -0.3636363636, 0.3636363636}
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