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z in (-oo:+oo)
(4*z-1)^2 = 4/16 // - 4/16
(4*z-1)^2-(4/16) = 0
(4*z-1)^2-1/4 = 0
(4*(4*z-1)^2)/4-1/4 = 0
4*(4*z-1)^2-1 = 0
64*z^2-32*z+3 = 0
64*z^2-32*z+3 = 0
64*z^2-32*z+3 = 0
DELTA = (-32)^2-(3*4*64)
DELTA = 256
DELTA > 0
z = (256^(1/2)+32)/(2*64) or z = (32-256^(1/2))/(2*64)
z = 3/8 or z = 1/8
(z-1/8)*(z-3/8) = 0
((z-1/8)*(z-3/8))/4 = 0
((z-1/8)*(z-3/8))/4 = 0 // * 4
(z-1/8)*(z-3/8) = 0
( z-1/8 )
z-1/8 = 0 // + 1/8
z = 1/8
( z-3/8 )
z-3/8 = 0 // + 3/8
z = 3/8
z in { 1/8, 3/8 }
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