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Simplifying 18s2 + 96s + 96 = 0 Reorder the terms: 96 + 96s + 18s2 = 0 Solving 96 + 96s + 18s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '6'. 6(16 + 16s + 3s2) = 0 Factor a trinomial. 6((4 + s)(4 + 3s)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(4 + s)' equal to zero and attempt to solve: Simplifying 4 + s = 0 Solving 4 + s = 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 + s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + s = 0 + -4 s = 0 + -4 Combine like terms: 0 + -4 = -4 s = -4 Simplifying s = -4Subproblem 2
Set the factor '(4 + 3s)' equal to zero and attempt to solve: Simplifying 4 + 3s = 0 Solving 4 + 3s = 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 + 3s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3s = 0 + -4 3s = 0 + -4 Combine like terms: 0 + -4 = -4 3s = -4 Divide each side by '3'. s = -1.333333333 Simplifying s = -1.333333333Solution
s = {-4, -1.333333333}
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