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Simplifying (4t2 + -1t + -6)(4t2 + 4t + -1) = 0 Reorder the terms: (-6 + -1t + 4t2)(4t2 + 4t + -1) = 0 Reorder the terms: (-6 + -1t + 4t2)(-1 + 4t + 4t2) = 0 Multiply (-6 + -1t + 4t2) * (-1 + 4t + 4t2) (-6(-1 + 4t + 4t2) + -1t * (-1 + 4t + 4t2) + 4t2 * (-1 + 4t + 4t2)) = 0 ((-1 * -6 + 4t * -6 + 4t2 * -6) + -1t * (-1 + 4t + 4t2) + 4t2 * (-1 + 4t + 4t2)) = 0 ((6 + -24t + -24t2) + -1t * (-1 + 4t + 4t2) + 4t2 * (-1 + 4t + 4t2)) = 0 (6 + -24t + -24t2 + (-1 * -1t + 4t * -1t + 4t2 * -1t) + 4t2 * (-1 + 4t + 4t2)) = 0 (6 + -24t + -24t2 + (1t + -4t2 + -4t3) + 4t2 * (-1 + 4t + 4t2)) = 0 (6 + -24t + -24t2 + 1t + -4t2 + -4t3 + (-1 * 4t2 + 4t * 4t2 + 4t2 * 4t2)) = 0 (6 + -24t + -24t2 + 1t + -4t2 + -4t3 + (-4t2 + 16t3 + 16t4)) = 0 Reorder the terms: (6 + -24t + 1t + -24t2 + -4t2 + -4t2 + -4t3 + 16t3 + 16t4) = 0 Combine like terms: -24t + 1t = -23t (6 + -23t + -24t2 + -4t2 + -4t2 + -4t3 + 16t3 + 16t4) = 0 Combine like terms: -24t2 + -4t2 = -28t2 (6 + -23t + -28t2 + -4t2 + -4t3 + 16t3 + 16t4) = 0 Combine like terms: -28t2 + -4t2 = -32t2 (6 + -23t + -32t2 + -4t3 + 16t3 + 16t4) = 0 Combine like terms: -4t3 + 16t3 = 12t3 (6 + -23t + -32t2 + 12t3 + 16t4) = 0 Solving 6 + -23t + -32t2 + 12t3 + 16t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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