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X-4/x+1-10/x^2_1=1/6 equation

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    4        10      
x - - + 1 - --- = 1/6
    x        21      
            x        
$$\left(\left(x - \frac{4}{x}\right) + 1\right) - \frac{10}{x^{21}} = \frac{1}{6}$$