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Simplifying (6t2 + -1t + -6)(6t2 + 6t + -1) = 0 Reorder the terms: (-6 + -1t + 6t2)(6t2 + 6t + -1) = 0 Reorder the terms: (-6 + -1t + 6t2)(-1 + 6t + 6t2) = 0 Multiply (-6 + -1t + 6t2) * (-1 + 6t + 6t2) (-6(-1 + 6t + 6t2) + -1t * (-1 + 6t + 6t2) + 6t2 * (-1 + 6t + 6t2)) = 0 ((-1 * -6 + 6t * -6 + 6t2 * -6) + -1t * (-1 + 6t + 6t2) + 6t2 * (-1 + 6t + 6t2)) = 0 ((6 + -36t + -36t2) + -1t * (-1 + 6t + 6t2) + 6t2 * (-1 + 6t + 6t2)) = 0 (6 + -36t + -36t2 + (-1 * -1t + 6t * -1t + 6t2 * -1t) + 6t2 * (-1 + 6t + 6t2)) = 0 (6 + -36t + -36t2 + (1t + -6t2 + -6t3) + 6t2 * (-1 + 6t + 6t2)) = 0 (6 + -36t + -36t2 + 1t + -6t2 + -6t3 + (-1 * 6t2 + 6t * 6t2 + 6t2 * 6t2)) = 0 (6 + -36t + -36t2 + 1t + -6t2 + -6t3 + (-6t2 + 36t3 + 36t4)) = 0 Reorder the terms: (6 + -36t + 1t + -36t2 + -6t2 + -6t2 + -6t3 + 36t3 + 36t4) = 0 Combine like terms: -36t + 1t = -35t (6 + -35t + -36t2 + -6t2 + -6t2 + -6t3 + 36t3 + 36t4) = 0 Combine like terms: -36t2 + -6t2 = -42t2 (6 + -35t + -42t2 + -6t2 + -6t3 + 36t3 + 36t4) = 0 Combine like terms: -42t2 + -6t2 = -48t2 (6 + -35t + -48t2 + -6t3 + 36t3 + 36t4) = 0 Combine like terms: -6t3 + 36t3 = 30t3 (6 + -35t + -48t2 + 30t3 + 36t4) = 0 Solving 6 + -35t + -48t2 + 30t3 + 36t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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