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Simplifying (4t2 + -1t + -5)(6t2 + 4t + -1) = 0 Reorder the terms: (-5 + -1t + 4t2)(6t2 + 4t + -1) = 0 Reorder the terms: (-5 + -1t + 4t2)(-1 + 4t + 6t2) = 0 Multiply (-5 + -1t + 4t2) * (-1 + 4t + 6t2) (-5(-1 + 4t + 6t2) + -1t * (-1 + 4t + 6t2) + 4t2 * (-1 + 4t + 6t2)) = 0 ((-1 * -5 + 4t * -5 + 6t2 * -5) + -1t * (-1 + 4t + 6t2) + 4t2 * (-1 + 4t + 6t2)) = 0 ((5 + -20t + -30t2) + -1t * (-1 + 4t + 6t2) + 4t2 * (-1 + 4t + 6t2)) = 0 (5 + -20t + -30t2 + (-1 * -1t + 4t * -1t + 6t2 * -1t) + 4t2 * (-1 + 4t + 6t2)) = 0 (5 + -20t + -30t2 + (1t + -4t2 + -6t3) + 4t2 * (-1 + 4t + 6t2)) = 0 (5 + -20t + -30t2 + 1t + -4t2 + -6t3 + (-1 * 4t2 + 4t * 4t2 + 6t2 * 4t2)) = 0 (5 + -20t + -30t2 + 1t + -4t2 + -6t3 + (-4t2 + 16t3 + 24t4)) = 0 Reorder the terms: (5 + -20t + 1t + -30t2 + -4t2 + -4t2 + -6t3 + 16t3 + 24t4) = 0 Combine like terms: -20t + 1t = -19t (5 + -19t + -30t2 + -4t2 + -4t2 + -6t3 + 16t3 + 24t4) = 0 Combine like terms: -30t2 + -4t2 = -34t2 (5 + -19t + -34t2 + -4t2 + -6t3 + 16t3 + 24t4) = 0 Combine like terms: -34t2 + -4t2 = -38t2 (5 + -19t + -38t2 + -6t3 + 16t3 + 24t4) = 0 Combine like terms: -6t3 + 16t3 = 10t3 (5 + -19t + -38t2 + 10t3 + 24t4) = 0 Solving 5 + -19t + -38t2 + 10t3 + 24t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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