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D( y )
y^2-25 = 0
y-5 = 0
y+5 = 0
y^2-25 = 0
y^2-25 = 0
1*y^2 = 25 // : 1
y^2 = 25
y^2 = 25 // ^ 1/2
abs(y) = 5
y = 5 or y = -5
y-5 = 0
y-5 = 0
y-5 = 0 // + 5
y = 5
y+5 = 0
y+5 = 0
y+5 = 0 // - 5
y = -5
y in (-oo:-5) U (-5:5) U (5:+oo)
3/(y+5)-(6/(y-5)) = 12/(y^2-25) // - 12/(y^2-25)
3/(y+5)-(6/(y-5))-(12/(y^2-25)) = 0
3/(y+5)-6*(y-5)^-1-12*(y^2-25)^-1 = 0
3/(y+5)-6/(y-5)-12/(y^2-25) = 0
(3*(y-5)*(y^2-25))/((y+5)*(y-5)*(y^2-25))+(-6*(y+5)*(y^2-25))/((y+5)*(y-5)*(y^2-25))+(-12*(y+5)*(y-5))/((y+5)*(y-5)*(y^2-25)) = 0
3*(y-5)*(y^2-25)-6*(y+5)*(y^2-25)-12*(y+5)*(y-5) = 0
75*y-3*y^3-45*y^2-12*y^2+300+1125 = 0
75*y-3*y^3-57*y^2+1425 = 0
75*y-3*y^3-57*y^2+1425 = 0
3*(25*y-y^3-19*y^2+475) = 0
25*y-y^3-19*y^2+475
y*(25-y^2)-19*y^2+475
19*(25-y^2)+y*(25-y^2)
(y+19)*(25-y^2)
3*(y+19)*(25-y^2) = 0
(3*(y+19)*(25-y^2))/((y+5)*(y-5)*(y^2-25)) = 0
(3*(y+19)*(25-y^2))/((y+5)*(y-5)*(y^2-25)) = 0 // * (y+5)*(y-5)*(y^2-25)
3*(y+19)*(25-y^2) = 0
( 25-y^2 )
-1*y^2 = -25 // : -1
y^2 = 25
y^2 = 25 // ^ 1/2
abs(y) = 5
y = 5 or y = -5
( y+19 )
y+19 = 0 // - 19
y = -19
y in { 5}
y in { -5}
y = -19
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