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Simplifying (2t2 + 3t + -4)(8t + 1) = 0 Reorder the terms: (-4 + 3t + 2t2)(8t + 1) = 0 Reorder the terms: (-4 + 3t + 2t2)(1 + 8t) = 0 Multiply (-4 + 3t + 2t2) * (1 + 8t) (-4(1 + 8t) + 3t * (1 + 8t) + 2t2 * (1 + 8t)) = 0 ((1 * -4 + 8t * -4) + 3t * (1 + 8t) + 2t2 * (1 + 8t)) = 0 ((-4 + -32t) + 3t * (1 + 8t) + 2t2 * (1 + 8t)) = 0 (-4 + -32t + (1 * 3t + 8t * 3t) + 2t2 * (1 + 8t)) = 0 (-4 + -32t + (3t + 24t2) + 2t2 * (1 + 8t)) = 0 (-4 + -32t + 3t + 24t2 + (1 * 2t2 + 8t * 2t2)) = 0 (-4 + -32t + 3t + 24t2 + (2t2 + 16t3)) = 0 Combine like terms: -32t + 3t = -29t (-4 + -29t + 24t2 + 2t2 + 16t3) = 0 Combine like terms: 24t2 + 2t2 = 26t2 (-4 + -29t + 26t2 + 16t3) = 0 Solving -4 + -29t + 26t2 + 16t3 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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