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Simplifying (3t2 + -1t + -4)(4t2 + 3t + -1) = 0 Reorder the terms: (-4 + -1t + 3t2)(4t2 + 3t + -1) = 0 Reorder the terms: (-4 + -1t + 3t2)(-1 + 3t + 4t2) = 0 Multiply (-4 + -1t + 3t2) * (-1 + 3t + 4t2) (-4(-1 + 3t + 4t2) + -1t * (-1 + 3t + 4t2) + 3t2 * (-1 + 3t + 4t2)) = 0 ((-1 * -4 + 3t * -4 + 4t2 * -4) + -1t * (-1 + 3t + 4t2) + 3t2 * (-1 + 3t + 4t2)) = 0 ((4 + -12t + -16t2) + -1t * (-1 + 3t + 4t2) + 3t2 * (-1 + 3t + 4t2)) = 0 (4 + -12t + -16t2 + (-1 * -1t + 3t * -1t + 4t2 * -1t) + 3t2 * (-1 + 3t + 4t2)) = 0 (4 + -12t + -16t2 + (1t + -3t2 + -4t3) + 3t2 * (-1 + 3t + 4t2)) = 0 (4 + -12t + -16t2 + 1t + -3t2 + -4t3 + (-1 * 3t2 + 3t * 3t2 + 4t2 * 3t2)) = 0 (4 + -12t + -16t2 + 1t + -3t2 + -4t3 + (-3t2 + 9t3 + 12t4)) = 0 Reorder the terms: (4 + -12t + 1t + -16t2 + -3t2 + -3t2 + -4t3 + 9t3 + 12t4) = 0 Combine like terms: -12t + 1t = -11t (4 + -11t + -16t2 + -3t2 + -3t2 + -4t3 + 9t3 + 12t4) = 0 Combine like terms: -16t2 + -3t2 = -19t2 (4 + -11t + -19t2 + -3t2 + -4t3 + 9t3 + 12t4) = 0 Combine like terms: -19t2 + -3t2 = -22t2 (4 + -11t + -22t2 + -4t3 + 9t3 + 12t4) = 0 Combine like terms: -4t3 + 9t3 = 5t3 (4 + -11t + -22t2 + 5t3 + 12t4) = 0 Solving 4 + -11t + -22t2 + 5t3 + 12t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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