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Simplifying (3t2 + -1t + -8)(4t2 + 3t + -1) = 0 Reorder the terms: (-8 + -1t + 3t2)(4t2 + 3t + -1) = 0 Reorder the terms: (-8 + -1t + 3t2)(-1 + 3t + 4t2) = 0 Multiply (-8 + -1t + 3t2) * (-1 + 3t + 4t2) (-8(-1 + 3t + 4t2) + -1t * (-1 + 3t + 4t2) + 3t2 * (-1 + 3t + 4t2)) = 0 ((-1 * -8 + 3t * -8 + 4t2 * -8) + -1t * (-1 + 3t + 4t2) + 3t2 * (-1 + 3t + 4t2)) = 0 ((8 + -24t + -32t2) + -1t * (-1 + 3t + 4t2) + 3t2 * (-1 + 3t + 4t2)) = 0 (8 + -24t + -32t2 + (-1 * -1t + 3t * -1t + 4t2 * -1t) + 3t2 * (-1 + 3t + 4t2)) = 0 (8 + -24t + -32t2 + (1t + -3t2 + -4t3) + 3t2 * (-1 + 3t + 4t2)) = 0 (8 + -24t + -32t2 + 1t + -3t2 + -4t3 + (-1 * 3t2 + 3t * 3t2 + 4t2 * 3t2)) = 0 (8 + -24t + -32t2 + 1t + -3t2 + -4t3 + (-3t2 + 9t3 + 12t4)) = 0 Reorder the terms: (8 + -24t + 1t + -32t2 + -3t2 + -3t2 + -4t3 + 9t3 + 12t4) = 0 Combine like terms: -24t + 1t = -23t (8 + -23t + -32t2 + -3t2 + -3t2 + -4t3 + 9t3 + 12t4) = 0 Combine like terms: -32t2 + -3t2 = -35t2 (8 + -23t + -35t2 + -3t2 + -4t3 + 9t3 + 12t4) = 0 Combine like terms: -35t2 + -3t2 = -38t2 (8 + -23t + -38t2 + -4t3 + 9t3 + 12t4) = 0 Combine like terms: -4t3 + 9t3 = 5t3 (8 + -23t + -38t2 + 5t3 + 12t4) = 0 Solving 8 + -23t + -38t2 + 5t3 + 12t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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