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Simplifying (6t2 + -1t + -7)(3t2 + 6t + -1) = 0 Reorder the terms: (-7 + -1t + 6t2)(3t2 + 6t + -1) = 0 Reorder the terms: (-7 + -1t + 6t2)(-1 + 6t + 3t2) = 0 Multiply (-7 + -1t + 6t2) * (-1 + 6t + 3t2) (-7(-1 + 6t + 3t2) + -1t * (-1 + 6t + 3t2) + 6t2 * (-1 + 6t + 3t2)) = 0 ((-1 * -7 + 6t * -7 + 3t2 * -7) + -1t * (-1 + 6t + 3t2) + 6t2 * (-1 + 6t + 3t2)) = 0 ((7 + -42t + -21t2) + -1t * (-1 + 6t + 3t2) + 6t2 * (-1 + 6t + 3t2)) = 0 (7 + -42t + -21t2 + (-1 * -1t + 6t * -1t + 3t2 * -1t) + 6t2 * (-1 + 6t + 3t2)) = 0 (7 + -42t + -21t2 + (1t + -6t2 + -3t3) + 6t2 * (-1 + 6t + 3t2)) = 0 (7 + -42t + -21t2 + 1t + -6t2 + -3t3 + (-1 * 6t2 + 6t * 6t2 + 3t2 * 6t2)) = 0 (7 + -42t + -21t2 + 1t + -6t2 + -3t3 + (-6t2 + 36t3 + 18t4)) = 0 Reorder the terms: (7 + -42t + 1t + -21t2 + -6t2 + -6t2 + -3t3 + 36t3 + 18t4) = 0 Combine like terms: -42t + 1t = -41t (7 + -41t + -21t2 + -6t2 + -6t2 + -3t3 + 36t3 + 18t4) = 0 Combine like terms: -21t2 + -6t2 = -27t2 (7 + -41t + -27t2 + -6t2 + -3t3 + 36t3 + 18t4) = 0 Combine like terms: -27t2 + -6t2 = -33t2 (7 + -41t + -33t2 + -3t3 + 36t3 + 18t4) = 0 Combine like terms: -3t3 + 36t3 = 33t3 (7 + -41t + -33t2 + 33t3 + 18t4) = 0 Solving 7 + -41t + -33t2 + 33t3 + 18t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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