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Simplifying 2(8t2 + -8t + 1)(1 + -2t) + 8t2 + -8t + 1 + 8t2 = 0 Reorder the terms: 2(1 + -8t + 8t2)(1 + -2t) + 8t2 + -8t + 1 + 8t2 = 0 Multiply (1 + -8t + 8t2) * (1 + -2t) 2(1(1 + -2t) + -8t * (1 + -2t) + 8t2 * (1 + -2t)) + 8t2 + -8t + 1 + 8t2 = 0 2((1 * 1 + -2t * 1) + -8t * (1 + -2t) + 8t2 * (1 + -2t)) + 8t2 + -8t + 1 + 8t2 = 0 2((1 + -2t) + -8t * (1 + -2t) + 8t2 * (1 + -2t)) + 8t2 + -8t + 1 + 8t2 = 0 2(1 + -2t + (1 * -8t + -2t * -8t) + 8t2 * (1 + -2t)) + 8t2 + -8t + 1 + 8t2 = 0 2(1 + -2t + (-8t + 16t2) + 8t2 * (1 + -2t)) + 8t2 + -8t + 1 + 8t2 = 0 2(1 + -2t + -8t + 16t2 + (1 * 8t2 + -2t * 8t2)) + 8t2 + -8t + 1 + 8t2 = 0 2(1 + -2t + -8t + 16t2 + (8t2 + -16t3)) + 8t2 + -8t + 1 + 8t2 = 0 Combine like terms: -2t + -8t = -10t 2(1 + -10t + 16t2 + 8t2 + -16t3) + 8t2 + -8t + 1 + 8t2 = 0 Combine like terms: 16t2 + 8t2 = 24t2 2(1 + -10t + 24t2 + -16t3) + 8t2 + -8t + 1 + 8t2 = 0 (1 * 2 + -10t * 2 + 24t2 * 2 + -16t3 * 2) + 8t2 + -8t + 1 + 8t2 = 0 (2 + -20t + 48t2 + -32t3) + 8t2 + -8t + 1 + 8t2 = 0 Reorder the terms: 2 + 1 + -20t + -8t + 48t2 + 8t2 + 8t2 + -32t3 = 0 Combine like terms: 2 + 1 = 3 3 + -20t + -8t + 48t2 + 8t2 + 8t2 + -32t3 = 0 Combine like terms: -20t + -8t = -28t 3 + -28t + 48t2 + 8t2 + 8t2 + -32t3 = 0 Combine like terms: 48t2 + 8t2 = 56t2 3 + -28t + 56t2 + 8t2 + -32t3 = 0 Combine like terms: 56t2 + 8t2 = 64t2 3 + -28t + 64t2 + -32t3 = 0 Solving 3 + -28t + 64t2 + -32t3 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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