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D( y )
y = 0
y^2+2*y = 0
y = 0
y = 0
y^2+2*y = 0
y^2+2*y = 0
y^2+2*y = 0
DELTA = 2^2-(0*1*4)
DELTA = 4
DELTA > 0
y = (4^(1/2)-2)/(1*2) or y = (-4^(1/2)-2)/(1*2)
y = 0 or y = -2
y in (-oo:-2) U (-2:0) U (0:+oo)
6/(y^2+2*y)-y-(1/y)-2 = 2/y // - 2/y
6/(y^2+2*y)-y-(1/y)-(2/y)-2 = 0
6/(y^2+2*y)-y-y^-1-2*y^-1-2 = 0
6/(y^2+2*y)-y-1/y-2/y-2 = 0
y^2+2*y = 0
y^2+2*y = 0
y*(y+2) = 0
y+2 = 0 // - 2
y = -2
y*(y+2) = 0
6/(y*(y+2))-y-1/y-2/y-2 = 0
6/(y*(y+2))+(-y*y*(y+2))/(y*(y+2))+(-1*(y+2))/(y*(y+2))+(-2*(y+2))/(y*(y+2))+(-2*y*(y+2))/(y*(y+2)) = 0
6-y*y*(y+2)-1*(y+2)-2*(y+2)-2*y*(y+2) = 0
6-y^3-2*y^2-2*y^2-y-2*y-4*y-4-2 = 0
4-y^3-2*y^2-2*y^2-y-2*y-4*y-4 = 0
-y^3-2*y^2-2*y^2-3*y-4*y = 0
-y^3-4*y^2-7*y = 0
-y^3-4*y^2-7*y = 0
-y*(y^2+4*y+7) = 0
y^2+4*y+7 = 0
DELTA = 4^2-(1*4*7)
DELTA = -12
DELTA < 0
-y = 0
-y/(y*(y+2)) = 0
-y/(y*(y+2)) = 0 // * y*(y+2)
-y = 0
-1*y = 0 // : -1
y = 0
y in { 0}
y belongs to the empty set
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