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Simplifying 27s2 + 144s + 192 = 0 Reorder the terms: 192 + 144s + 27s2 = 0 Solving 192 + 144s + 27s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3'. 3(64 + 48s + 9s2) = 0 Factor a trinomial. 3((8 + 3s)(8 + 3s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(8 + 3s)' equal to zero and attempt to solve: Simplifying 8 + 3s = 0 Solving 8 + 3s = 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 + 3s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3s = 0 + -8 3s = 0 + -8 Combine like terms: 0 + -8 = -8 3s = -8 Divide each side by '3'. s = -2.666666667 Simplifying s = -2.666666667Subproblem 2
Set the factor '(8 + 3s)' equal to zero and attempt to solve: Simplifying 8 + 3s = 0 Solving 8 + 3s = 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 + 3s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3s = 0 + -8 3s = 0 + -8 Combine like terms: 0 + -8 = -8 3s = -8 Divide each side by '3'. s = -2.666666667 Simplifying s = -2.666666667Solution
s = {-2.666666667, -2.666666667}
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