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Simplifying 9s2 + 24s = -16 Reorder the terms: 24s + 9s2 = -16 Solving 24s + 9s2 = -16 Solving for variable 's'. Reorder the terms: 16 + 24s + 9s2 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + 24s + 9s2 = 0 Factor a trinomial. (4 + 3s)(4 + 3s) = 0Subproblem 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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