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Simplifying (s + 3)(s + 4)(s + 5) + 5 = 0 Reorder the terms: (3 + s)(s + 4)(s + 5) + 5 = 0 Reorder the terms: (3 + s)(4 + s)(s + 5) + 5 = 0 Reorder the terms: (3 + s)(4 + s)(5 + s) + 5 = 0 Multiply (3 + s) * (4 + s) (3(4 + s) + s(4 + s))(5 + s) + 5 = 0 ((4 * 3 + s * 3) + s(4 + s))(5 + s) + 5 = 0 ((12 + 3s) + s(4 + s))(5 + s) + 5 = 0 (12 + 3s + (4 * s + s * s))(5 + s) + 5 = 0 (12 + 3s + (4s + s2))(5 + s) + 5 = 0 Combine like terms: 3s + 4s = 7s (12 + 7s + s2)(5 + s) + 5 = 0 Multiply (12 + 7s + s2) * (5 + s) (12(5 + s) + 7s * (5 + s) + s2(5 + s)) + 5 = 0 ((5 * 12 + s * 12) + 7s * (5 + s) + s2(5 + s)) + 5 = 0 ((60 + 12s) + 7s * (5 + s) + s2(5 + s)) + 5 = 0 (60 + 12s + (5 * 7s + s * 7s) + s2(5 + s)) + 5 = 0 (60 + 12s + (35s + 7s2) + s2(5 + s)) + 5 = 0 (60 + 12s + 35s + 7s2 + (5 * s2 + s * s2)) + 5 = 0 (60 + 12s + 35s + 7s2 + (5s2 + s3)) + 5 = 0 Combine like terms: 12s + 35s = 47s (60 + 47s + 7s2 + 5s2 + s3) + 5 = 0 Combine like terms: 7s2 + 5s2 = 12s2 (60 + 47s + 12s2 + s3) + 5 = 0 Reorder the terms: 60 + 5 + 47s + 12s2 + s3 = 0 Combine like terms: 60 + 5 = 65 65 + 47s + 12s2 + s3 = 0 Solving 65 + 47s + 12s2 + s3 = 0 Solving for variable 's'. The solution to this equation could not be determined.
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