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Simplifying (5t2 + -1t + -8)(2t2 + 5t + -1) = 0 Reorder the terms: (-8 + -1t + 5t2)(2t2 + 5t + -1) = 0 Reorder the terms: (-8 + -1t + 5t2)(-1 + 5t + 2t2) = 0 Multiply (-8 + -1t + 5t2) * (-1 + 5t + 2t2) (-8(-1 + 5t + 2t2) + -1t * (-1 + 5t + 2t2) + 5t2 * (-1 + 5t + 2t2)) = 0 ((-1 * -8 + 5t * -8 + 2t2 * -8) + -1t * (-1 + 5t + 2t2) + 5t2 * (-1 + 5t + 2t2)) = 0 ((8 + -40t + -16t2) + -1t * (-1 + 5t + 2t2) + 5t2 * (-1 + 5t + 2t2)) = 0 (8 + -40t + -16t2 + (-1 * -1t + 5t * -1t + 2t2 * -1t) + 5t2 * (-1 + 5t + 2t2)) = 0 (8 + -40t + -16t2 + (1t + -5t2 + -2t3) + 5t2 * (-1 + 5t + 2t2)) = 0 (8 + -40t + -16t2 + 1t + -5t2 + -2t3 + (-1 * 5t2 + 5t * 5t2 + 2t2 * 5t2)) = 0 (8 + -40t + -16t2 + 1t + -5t2 + -2t3 + (-5t2 + 25t3 + 10t4)) = 0 Reorder the terms: (8 + -40t + 1t + -16t2 + -5t2 + -5t2 + -2t3 + 25t3 + 10t4) = 0 Combine like terms: -40t + 1t = -39t (8 + -39t + -16t2 + -5t2 + -5t2 + -2t3 + 25t3 + 10t4) = 0 Combine like terms: -16t2 + -5t2 = -21t2 (8 + -39t + -21t2 + -5t2 + -2t3 + 25t3 + 10t4) = 0 Combine like terms: -21t2 + -5t2 = -26t2 (8 + -39t + -26t2 + -2t3 + 25t3 + 10t4) = 0 Combine like terms: -2t3 + 25t3 = 23t3 (8 + -39t + -26t2 + 23t3 + 10t4) = 0 Solving 8 + -39t + -26t2 + 23t3 + 10t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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