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Simplifying 18s2 + -48s + 32 = 0 Reorder the terms: 32 + -48s + 18s2 = 0 Solving 32 + -48s + 18s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(16 + -24s + 9s2) = 0 Factor a trinomial. 2((4 + -3s)(4 + -3s)) = 0 Ignore the factor 2.Subproblem 1
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 = 1.333333333Subproblem 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 = {1.333333333, 1.333333333}
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