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z in (-oo:+oo)
z-(((4/5)*z^1)/4) = (2/5)*(z-(7/8)) // - (2/5)*(z-(7/8))
z-((2/5)*(z-(7/8)))-(((4/5)*z^1)/4) = 0
(-2/5)*(z-7/8)+z+(-1/5)*z = 0
z-2/5*(z-7/8)-z/5 = 0
(-2/5*5*(z-7/8))/5+(5*z)/5-z/5 = 0
5*z-2/5*5*(z-7/8)-z = 0
3*z-z+7/4 = 0
2*z+7/4 = 0
(2*z+7/4)/5 = 0
(2*z+7/4)/5 = 0 // * 5
2*z+7/4 = 0
2*z+7/4 = 0 // - 7/4
2*z = -7/4 // : 2
z = -7/4/2
z = -7/8
z = -7/8
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