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Simplifying 0 = (3t2 + -1t + -8)(2t2 + 3t + -1) Reorder the terms: 0 = (-8 + -1t + 3t2)(2t2 + 3t + -1) Reorder the terms: 0 = (-8 + -1t + 3t2)(-1 + 3t + 2t2) Multiply (-8 + -1t + 3t2) * (-1 + 3t + 2t2) 0 = (-8(-1 + 3t + 2t2) + -1t * (-1 + 3t + 2t2) + 3t2 * (-1 + 3t + 2t2)) 0 = ((-1 * -8 + 3t * -8 + 2t2 * -8) + -1t * (-1 + 3t + 2t2) + 3t2 * (-1 + 3t + 2t2)) 0 = ((8 + -24t + -16t2) + -1t * (-1 + 3t + 2t2) + 3t2 * (-1 + 3t + 2t2)) 0 = (8 + -24t + -16t2 + (-1 * -1t + 3t * -1t + 2t2 * -1t) + 3t2 * (-1 + 3t + 2t2)) 0 = (8 + -24t + -16t2 + (1t + -3t2 + -2t3) + 3t2 * (-1 + 3t + 2t2)) 0 = (8 + -24t + -16t2 + 1t + -3t2 + -2t3 + (-1 * 3t2 + 3t * 3t2 + 2t2 * 3t2)) 0 = (8 + -24t + -16t2 + 1t + -3t2 + -2t3 + (-3t2 + 9t3 + 6t4)) Reorder the terms: 0 = (8 + -24t + 1t + -16t2 + -3t2 + -3t2 + -2t3 + 9t3 + 6t4) Combine like terms: -24t + 1t = -23t 0 = (8 + -23t + -16t2 + -3t2 + -3t2 + -2t3 + 9t3 + 6t4) Combine like terms: -16t2 + -3t2 = -19t2 0 = (8 + -23t + -19t2 + -3t2 + -2t3 + 9t3 + 6t4) Combine like terms: -19t2 + -3t2 = -22t2 0 = (8 + -23t + -22t2 + -2t3 + 9t3 + 6t4) Combine like terms: -2t3 + 9t3 = 7t3 0 = (8 + -23t + -22t2 + 7t3 + 6t4) Solving 0 = 8 + -23t + -22t2 + 7t3 + 6t4 Solving for variable 't'. Combine like terms: 0 + -8 = -8 -8 + 23t + 22t2 + -7t3 + -6t4 = 8 + -23t + -22t2 + 7t3 + 6t4 + -8 + 23t + 22t2 + -7t3 + -6t4 Reorder the terms: -8 + 23t + 22t2 + -7t3 + -6t4 = 8 + -8 + -23t + 23t + -22t2 + 22t2 + 7t3 + -7t3 + 6t4 + -6t4 Combine like terms: 8 + -8 = 0 -8 + 23t + 22t2 + -7t3 + -6t4 = 0 + -23t + 23t + -22t2 + 22t2 + 7t3 + -7t3 + 6t4 + -6t4 -8 + 23t + 22t2 + -7t3 + -6t4 = -23t + 23t + -22t2 + 22t2 + 7t3 + -7t3 + 6t4 + -6t4 Combine like terms: -23t + 23t = 0 -8 + 23t + 22t2 + -7t3 + -6t4 = 0 + -22t2 + 22t2 + 7t3 + -7t3 + 6t4 + -6t4 -8 + 23t + 22t2 + -7t3 + -6t4 = -22t2 + 22t2 + 7t3 + -7t3 + 6t4 + -6t4 Combine like terms: -22t2 + 22t2 = 0 -8 + 23t + 22t2 + -7t3 + -6t4 = 0 + 7t3 + -7t3 + 6t4 + -6t4 -8 + 23t + 22t2 + -7t3 + -6t4 = 7t3 + -7t3 + 6t4 + -6t4 Combine like terms: 7t3 + -7t3 = 0 -8 + 23t + 22t2 + -7t3 + -6t4 = 0 + 6t4 + -6t4 -8 + 23t + 22t2 + -7t3 + -6t4 = 6t4 + -6t4 Combine like terms: 6t4 + -6t4 = 0 -8 + 23t + 22t2 + -7t3 + -6t4 = 0 The solution to this equation could not be determined.
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