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Simplifying (3t2 + -1t + -6)(2t2 + 3t + -1) = 0 Reorder the terms: (-6 + -1t + 3t2)(2t2 + 3t + -1) = 0 Reorder the terms: (-6 + -1t + 3t2)(-1 + 3t + 2t2) = 0 Multiply (-6 + -1t + 3t2) * (-1 + 3t + 2t2) (-6(-1 + 3t + 2t2) + -1t * (-1 + 3t + 2t2) + 3t2 * (-1 + 3t + 2t2)) = 0 ((-1 * -6 + 3t * -6 + 2t2 * -6) + -1t * (-1 + 3t + 2t2) + 3t2 * (-1 + 3t + 2t2)) = 0 ((6 + -18t + -12t2) + -1t * (-1 + 3t + 2t2) + 3t2 * (-1 + 3t + 2t2)) = 0 (6 + -18t + -12t2 + (-1 * -1t + 3t * -1t + 2t2 * -1t) + 3t2 * (-1 + 3t + 2t2)) = 0 (6 + -18t + -12t2 + (1t + -3t2 + -2t3) + 3t2 * (-1 + 3t + 2t2)) = 0 (6 + -18t + -12t2 + 1t + -3t2 + -2t3 + (-1 * 3t2 + 3t * 3t2 + 2t2 * 3t2)) = 0 (6 + -18t + -12t2 + 1t + -3t2 + -2t3 + (-3t2 + 9t3 + 6t4)) = 0 Reorder the terms: (6 + -18t + 1t + -12t2 + -3t2 + -3t2 + -2t3 + 9t3 + 6t4) = 0 Combine like terms: -18t + 1t = -17t (6 + -17t + -12t2 + -3t2 + -3t2 + -2t3 + 9t3 + 6t4) = 0 Combine like terms: -12t2 + -3t2 = -15t2 (6 + -17t + -15t2 + -3t2 + -2t3 + 9t3 + 6t4) = 0 Combine like terms: -15t2 + -3t2 = -18t2 (6 + -17t + -18t2 + -2t3 + 9t3 + 6t4) = 0 Combine like terms: -2t3 + 9t3 = 7t3 (6 + -17t + -18t2 + 7t3 + 6t4) = 0 Solving 6 + -17t + -18t2 + 7t3 + 6t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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