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Simplifying 9s2 + 26s + 16 = 0 Reorder the terms: 16 + 26s + 9s2 = 0 Solving 16 + 26s + 9s2 = 0 Solving for variable 's'. Factor a trinomial. (2 + s)(8 + 9s) = 0Subproblem 1
Set the factor '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Simplifying s = -2Subproblem 2
Set the factor '(8 + 9s)' equal to zero and attempt to solve: Simplifying 8 + 9s = 0 Solving 8 + 9s = 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 + 9s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9s = 0 + -8 9s = 0 + -8 Combine like terms: 0 + -8 = -8 9s = -8 Divide each side by '9'. s = -0.8888888889 Simplifying s = -0.8888888889Solution
s = {-2, -0.8888888889}
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