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Simplifying (S + -3)(s2 + 3s + 9) = 0 Reorder the terms: (-3 + S)(s2 + 3s + 9) = 0 Reorder the terms: (-3 + S)(9 + 3s + s2) = 0 Multiply (-3 + S) * (9 + 3s + s2) (-3(9 + 3s + s2) + S(9 + 3s + s2)) = 0 ((9 * -3 + 3s * -3 + s2 * -3) + S(9 + 3s + s2)) = 0 ((-27 + -9s + -3s2) + S(9 + 3s + s2)) = 0 (-27 + -9s + -3s2 + (9 * S + 3s * S + s2 * S)) = 0 (-27 + -9s + -3s2 + (9S + 3sS + s2S)) = 0 Reorder the terms: (-27 + 9S + -9s + 3sS + -3s2 + s2S) = 0 (-27 + 9S + -9s + 3sS + -3s2 + s2S) = 0 Solving -27 + 9S + -9s + 3sS + -3s2 + s2S = 0 Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 9S + -9s + 3sS + -3s2 + 27 + s2S = 0 + 27 Reorder the terms: -27 + 27 + 9S + -9s + 3sS + -3s2 + s2S = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 9S + -9s + 3sS + -3s2 + s2S = 0 + 27 9S + -9s + 3sS + -3s2 + s2S = 0 + 27 Combine like terms: 0 + 27 = 27 9S + -9s + 3sS + -3s2 + s2S = 27 Add '9s' to each side of the equation. 9S + -9s + 3sS + -3s2 + 9s + s2S = 27 + 9s Reorder the terms: 9S + -9s + 9s + 3sS + -3s2 + s2S = 27 + 9s Combine like terms: -9s + 9s = 0 9S + 0 + 3sS + -3s2 + s2S = 27 + 9s 9S + 3sS + -3s2 + s2S = 27 + 9s Add '3s2' to each side of the equation. 9S + 3sS + -3s2 + 3s2 + s2S = 27 + 9s + 3s2 Combine like terms: -3s2 + 3s2 = 0 9S + 3sS + 0 + s2S = 27 + 9s + 3s2 9S + 3sS + s2S = 27 + 9s + 3s2 Reorder the terms: -27 + 9S + -9s + 3sS + -3s2 + s2S = 27 + 9s + 3s2 + -27 + -9s + -3s2 Reorder the terms: -27 + 9S + -9s + 3sS + -3s2 + s2S = 27 + -27 + 9s + -9s + 3s2 + -3s2 Combine like terms: 27 + -27 = 0 -27 + 9S + -9s + 3sS + -3s2 + s2S = 0 + 9s + -9s + 3s2 + -3s2 -27 + 9S + -9s + 3sS + -3s2 + s2S = 9s + -9s + 3s2 + -3s2 Combine like terms: 9s + -9s = 0 -27 + 9S + -9s + 3sS + -3s2 + s2S = 0 + 3s2 + -3s2 -27 + 9S + -9s + 3sS + -3s2 + s2S = 3s2 + -3s2 Combine like terms: 3s2 + -3s2 = 0 -27 + 9S + -9s + 3sS + -3s2 + s2S = 0 The solution to this equation could not be determined.
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