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D( y )
y = 0
y+4 = 0
y = 0
y = 0
y+4 = 0
y+4 = 0
y+4 = 0 // - 4
y = -4
y in (-oo:-4) U (-4:0) U (0:+oo)
1/(y+4)+1/y = 2/3 // - 2/3
1/(y+4)+1/y-(2/3) = 0
1/(y+4)+1/y-2/3 = 0
(1*3*y)/(3*y*(y+4))+(1*3*(y+4))/(3*y*(y+4))+(-2*y*(y+4))/(3*y*(y+4)) = 0
1*3*(y+4)-2*y*(y+4)+1*3*y = 0
6*y-2*y^2-8*y+12 = 0
12-2*y^2-2*y = 0
12-2*y^2-2*y = 0
2*(6-y^2-y) = 0
6-y^2-y = 0
DELTA = (-1)^2-(-1*4*6)
DELTA = 25
DELTA > 0
y = (25^(1/2)+1)/(-1*2) or y = (1-25^(1/2))/(-1*2)
y = -3 or y = 2
2*(y+3)*(y-2) = 0
(2*(y+3)*(y-2))/(3*y*(y+4)) = 0
(2*(y+3)*(y-2))/(3*y*(y+4)) = 0 // * 3*y*(y+4)
2*(y+3)*(y-2) = 0
( y+3 )
y+3 = 0 // - 3
y = -3
( y-2 )
y-2 = 0 // + 2
y = 2
y in { -3, 2 }
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