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Simplifying s2 + 2s + 9s + 18 = 0 Reorder the terms: 18 + 2s + 9s + s2 = 0 Combine like terms: 2s + 9s = 11s 18 + 11s + s2 = 0 Solving 18 + 11s + s2 = 0 Solving for variable 's'. Factor a trinomial. (9 + s)(2 + s) = 0Subproblem 1
Set the factor '(9 + s)' equal to zero and attempt to solve: Simplifying 9 + s = 0 Solving 9 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + s = 0 + -9 s = 0 + -9 Combine like terms: 0 + -9 = -9 s = -9 Simplifying s = -9Subproblem 2
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 = -2Solution
s = {-9, -2}
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