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Simplifying (8t2 + -1t + -8)(8t2 + 8t + -1) = 0 Reorder the terms: (-8 + -1t + 8t2)(8t2 + 8t + -1) = 0 Reorder the terms: (-8 + -1t + 8t2)(-1 + 8t + 8t2) = 0 Multiply (-8 + -1t + 8t2) * (-1 + 8t + 8t2) (-8(-1 + 8t + 8t2) + -1t * (-1 + 8t + 8t2) + 8t2 * (-1 + 8t + 8t2)) = 0 ((-1 * -8 + 8t * -8 + 8t2 * -8) + -1t * (-1 + 8t + 8t2) + 8t2 * (-1 + 8t + 8t2)) = 0 ((8 + -64t + -64t2) + -1t * (-1 + 8t + 8t2) + 8t2 * (-1 + 8t + 8t2)) = 0 (8 + -64t + -64t2 + (-1 * -1t + 8t * -1t + 8t2 * -1t) + 8t2 * (-1 + 8t + 8t2)) = 0 (8 + -64t + -64t2 + (1t + -8t2 + -8t3) + 8t2 * (-1 + 8t + 8t2)) = 0 (8 + -64t + -64t2 + 1t + -8t2 + -8t3 + (-1 * 8t2 + 8t * 8t2 + 8t2 * 8t2)) = 0 (8 + -64t + -64t2 + 1t + -8t2 + -8t3 + (-8t2 + 64t3 + 64t4)) = 0 Reorder the terms: (8 + -64t + 1t + -64t2 + -8t2 + -8t2 + -8t3 + 64t3 + 64t4) = 0 Combine like terms: -64t + 1t = -63t (8 + -63t + -64t2 + -8t2 + -8t2 + -8t3 + 64t3 + 64t4) = 0 Combine like terms: -64t2 + -8t2 = -72t2 (8 + -63t + -72t2 + -8t2 + -8t3 + 64t3 + 64t4) = 0 Combine like terms: -72t2 + -8t2 = -80t2 (8 + -63t + -80t2 + -8t3 + 64t3 + 64t4) = 0 Combine like terms: -8t3 + 64t3 = 56t3 (8 + -63t + -80t2 + 56t3 + 64t4) = 0 Solving 8 + -63t + -80t2 + 56t3 + 64t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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