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Simplifying (8t2 + -1t + -5)(4t2 + 8t + -1) = 0 Reorder the terms: (-5 + -1t + 8t2)(4t2 + 8t + -1) = 0 Reorder the terms: (-5 + -1t + 8t2)(-1 + 8t + 4t2) = 0 Multiply (-5 + -1t + 8t2) * (-1 + 8t + 4t2) (-5(-1 + 8t + 4t2) + -1t * (-1 + 8t + 4t2) + 8t2 * (-1 + 8t + 4t2)) = 0 ((-1 * -5 + 8t * -5 + 4t2 * -5) + -1t * (-1 + 8t + 4t2) + 8t2 * (-1 + 8t + 4t2)) = 0 ((5 + -40t + -20t2) + -1t * (-1 + 8t + 4t2) + 8t2 * (-1 + 8t + 4t2)) = 0 (5 + -40t + -20t2 + (-1 * -1t + 8t * -1t + 4t2 * -1t) + 8t2 * (-1 + 8t + 4t2)) = 0 (5 + -40t + -20t2 + (1t + -8t2 + -4t3) + 8t2 * (-1 + 8t + 4t2)) = 0 (5 + -40t + -20t2 + 1t + -8t2 + -4t3 + (-1 * 8t2 + 8t * 8t2 + 4t2 * 8t2)) = 0 (5 + -40t + -20t2 + 1t + -8t2 + -4t3 + (-8t2 + 64t3 + 32t4)) = 0 Reorder the terms: (5 + -40t + 1t + -20t2 + -8t2 + -8t2 + -4t3 + 64t3 + 32t4) = 0 Combine like terms: -40t + 1t = -39t (5 + -39t + -20t2 + -8t2 + -8t2 + -4t3 + 64t3 + 32t4) = 0 Combine like terms: -20t2 + -8t2 = -28t2 (5 + -39t + -28t2 + -8t2 + -4t3 + 64t3 + 32t4) = 0 Combine like terms: -28t2 + -8t2 = -36t2 (5 + -39t + -36t2 + -4t3 + 64t3 + 32t4) = 0 Combine like terms: -4t3 + 64t3 = 60t3 (5 + -39t + -36t2 + 60t3 + 32t4) = 0 Solving 5 + -39t + -36t2 + 60t3 + 32t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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