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Simplifying (6t2 + -1t + -3)(4t2 + 6t + -1) = 0 Reorder the terms: (-3 + -1t + 6t2)(4t2 + 6t + -1) = 0 Reorder the terms: (-3 + -1t + 6t2)(-1 + 6t + 4t2) = 0 Multiply (-3 + -1t + 6t2) * (-1 + 6t + 4t2) (-3(-1 + 6t + 4t2) + -1t * (-1 + 6t + 4t2) + 6t2 * (-1 + 6t + 4t2)) = 0 ((-1 * -3 + 6t * -3 + 4t2 * -3) + -1t * (-1 + 6t + 4t2) + 6t2 * (-1 + 6t + 4t2)) = 0 ((3 + -18t + -12t2) + -1t * (-1 + 6t + 4t2) + 6t2 * (-1 + 6t + 4t2)) = 0 (3 + -18t + -12t2 + (-1 * -1t + 6t * -1t + 4t2 * -1t) + 6t2 * (-1 + 6t + 4t2)) = 0 (3 + -18t + -12t2 + (1t + -6t2 + -4t3) + 6t2 * (-1 + 6t + 4t2)) = 0 (3 + -18t + -12t2 + 1t + -6t2 + -4t3 + (-1 * 6t2 + 6t * 6t2 + 4t2 * 6t2)) = 0 (3 + -18t + -12t2 + 1t + -6t2 + -4t3 + (-6t2 + 36t3 + 24t4)) = 0 Reorder the terms: (3 + -18t + 1t + -12t2 + -6t2 + -6t2 + -4t3 + 36t3 + 24t4) = 0 Combine like terms: -18t + 1t = -17t (3 + -17t + -12t2 + -6t2 + -6t2 + -4t3 + 36t3 + 24t4) = 0 Combine like terms: -12t2 + -6t2 = -18t2 (3 + -17t + -18t2 + -6t2 + -4t3 + 36t3 + 24t4) = 0 Combine like terms: -18t2 + -6t2 = -24t2 (3 + -17t + -24t2 + -4t3 + 36t3 + 24t4) = 0 Combine like terms: -4t3 + 36t3 = 32t3 (3 + -17t + -24t2 + 32t3 + 24t4) = 0 Solving 3 + -17t + -24t2 + 32t3 + 24t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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