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Simplifying (2 + 5t)(3 + t + 8t2) = 0 Multiply (2 + 5t) * (3 + t + 8t2) (2(3 + t + 8t2) + 5t * (3 + t + 8t2)) = 0 ((3 * 2 + t * 2 + 8t2 * 2) + 5t * (3 + t + 8t2)) = 0 ((6 + 2t + 16t2) + 5t * (3 + t + 8t2)) = 0 (6 + 2t + 16t2 + (3 * 5t + t * 5t + 8t2 * 5t)) = 0 (6 + 2t + 16t2 + (15t + 5t2 + 40t3)) = 0 Reorder the terms: (6 + 2t + 15t + 16t2 + 5t2 + 40t3) = 0 Combine like terms: 2t + 15t = 17t (6 + 17t + 16t2 + 5t2 + 40t3) = 0 Combine like terms: 16t2 + 5t2 = 21t2 (6 + 17t + 21t2 + 40t3) = 0 Solving 6 + 17t + 21t2 + 40t3 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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