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z in (-oo:+oo)
z^2*((16*z^4-(8*z^3))/4) = 0
z^2*((16*z^4-8*z^3)/4) = 0
(z^2*(16*z^4-8*z^3))/4 = 0
16*z^4-8*z^3 = 0
8*z^3*(2*z-1) = 0
2*z-1 = 0 // + 1
2*z = 1 // : 2
z = 1/2
8*z^3*(z-1/2) = 0
(8*z^2*z^3*(z-1/2))/4 = 0
( 8*z^3 )
8*z^3 = 0 // : 8
z^3 = 0
z = 0
( z-1/2 )
z-1/2 = 0 // + 1/2
z = 1/2
( z^2 )
1*z^2 = 0 // : 1
z^2 = 0
z = 0
z in { 0, 1/2, 0 }
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