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Simplifying (4t2 + -1t + -3)(2t2 + 4t + -1) = 0 Reorder the terms: (-3 + -1t + 4t2)(2t2 + 4t + -1) = 0 Reorder the terms: (-3 + -1t + 4t2)(-1 + 4t + 2t2) = 0 Multiply (-3 + -1t + 4t2) * (-1 + 4t + 2t2) (-3(-1 + 4t + 2t2) + -1t * (-1 + 4t + 2t2) + 4t2 * (-1 + 4t + 2t2)) = 0 ((-1 * -3 + 4t * -3 + 2t2 * -3) + -1t * (-1 + 4t + 2t2) + 4t2 * (-1 + 4t + 2t2)) = 0 ((3 + -12t + -6t2) + -1t * (-1 + 4t + 2t2) + 4t2 * (-1 + 4t + 2t2)) = 0 (3 + -12t + -6t2 + (-1 * -1t + 4t * -1t + 2t2 * -1t) + 4t2 * (-1 + 4t + 2t2)) = 0 (3 + -12t + -6t2 + (1t + -4t2 + -2t3) + 4t2 * (-1 + 4t + 2t2)) = 0 (3 + -12t + -6t2 + 1t + -4t2 + -2t3 + (-1 * 4t2 + 4t * 4t2 + 2t2 * 4t2)) = 0 (3 + -12t + -6t2 + 1t + -4t2 + -2t3 + (-4t2 + 16t3 + 8t4)) = 0 Reorder the terms: (3 + -12t + 1t + -6t2 + -4t2 + -4t2 + -2t3 + 16t3 + 8t4) = 0 Combine like terms: -12t + 1t = -11t (3 + -11t + -6t2 + -4t2 + -4t2 + -2t3 + 16t3 + 8t4) = 0 Combine like terms: -6t2 + -4t2 = -10t2 (3 + -11t + -10t2 + -4t2 + -2t3 + 16t3 + 8t4) = 0 Combine like terms: -10t2 + -4t2 = -14t2 (3 + -11t + -14t2 + -2t3 + 16t3 + 8t4) = 0 Combine like terms: -2t3 + 16t3 = 14t3 (3 + -11t + -14t2 + 14t3 + 8t4) = 0 Solving 3 + -11t + -14t2 + 14t3 + 8t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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