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Find all values of z such that 2/z + 5 = 5/z - 4 - 2/z - 8

 Jan 9, 2022
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Let \(x = \frac 1z\). Then \(2x + 5 = 5x - 4 - 2x - 8 \implies 2x + 5 = 3x - 12 \implies 5 = x - 12 \implies x = 17\). Hence, \(z = \boxed{\frac 1{17}}\).

 Jan 10, 2022

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