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Simplifying (7t2 + -1t + -8)(2t2 + 7t + -1) = 0 Reorder the terms: (-8 + -1t + 7t2)(2t2 + 7t + -1) = 0 Reorder the terms: (-8 + -1t + 7t2)(-1 + 7t + 2t2) = 0 Multiply (-8 + -1t + 7t2) * (-1 + 7t + 2t2) (-8(-1 + 7t + 2t2) + -1t * (-1 + 7t + 2t2) + 7t2 * (-1 + 7t + 2t2)) = 0 ((-1 * -8 + 7t * -8 + 2t2 * -8) + -1t * (-1 + 7t + 2t2) + 7t2 * (-1 + 7t + 2t2)) = 0 ((8 + -56t + -16t2) + -1t * (-1 + 7t + 2t2) + 7t2 * (-1 + 7t + 2t2)) = 0 (8 + -56t + -16t2 + (-1 * -1t + 7t * -1t + 2t2 * -1t) + 7t2 * (-1 + 7t + 2t2)) = 0 (8 + -56t + -16t2 + (1t + -7t2 + -2t3) + 7t2 * (-1 + 7t + 2t2)) = 0 (8 + -56t + -16t2 + 1t + -7t2 + -2t3 + (-1 * 7t2 + 7t * 7t2 + 2t2 * 7t2)) = 0 (8 + -56t + -16t2 + 1t + -7t2 + -2t3 + (-7t2 + 49t3 + 14t4)) = 0 Reorder the terms: (8 + -56t + 1t + -16t2 + -7t2 + -7t2 + -2t3 + 49t3 + 14t4) = 0 Combine like terms: -56t + 1t = -55t (8 + -55t + -16t2 + -7t2 + -7t2 + -2t3 + 49t3 + 14t4) = 0 Combine like terms: -16t2 + -7t2 = -23t2 (8 + -55t + -23t2 + -7t2 + -2t3 + 49t3 + 14t4) = 0 Combine like terms: -23t2 + -7t2 = -30t2 (8 + -55t + -30t2 + -2t3 + 49t3 + 14t4) = 0 Combine like terms: -2t3 + 49t3 = 47t3 (8 + -55t + -30t2 + 47t3 + 14t4) = 0 Solving 8 + -55t + -30t2 + 47t3 + 14t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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