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D( x )
x = 0
6*x+8 = 0
x+6 = 0
x = 0
x = 0
6*x+8 = 0
6*x+8 = 0
6*x+8 = 0 // - 8
6*x = -8 // : 6
x = -8/6
x = -4/3
x+6 = 0
x+6 = 0
x+6 = 0 // - 6
x = -6
x in (-oo:-6) U (-6:-4/3) U (-4/3:0) U (0:+oo)
1/(x+6)+1/x = 11/(6*x+8) // - 11/(6*x+8)
1/(x+6)-(11/(6*x+8))+1/x = 0
1/(x+6)-11*(6*x+8)^-1+1/x = 0
1/(x+6)-11/(6*x+8)+1/x = 0
(1*x*(6*x+8))/(x*(x+6)*(6*x+8))+(-11*x*(x+6))/(x*(x+6)*(6*x+8))+(1*(x+6)*(6*x+8))/(x*(x+6)*(6*x+8)) = 0
1*x*(6*x+8)-11*x*(x+6)+1*(x+6)*(6*x+8) = 0
6*x^2-5*x^2-58*x+44*x+48 = 0
x^2-14*x+48 = 0
x^2-14*x+48 = 0
x^2-14*x+48 = 0
DELTA = (-14)^2-(1*4*48)
DELTA = 4
DELTA > 0
x = (4^(1/2)+14)/(1*2) or x = (14-4^(1/2))/(1*2)
x = 8 or x = 6
(x-6)*(x-8) = 0
((x-6)*(x-8))/(x*(x+6)*(6*x+8)) = 0
((x-6)*(x-8))/(x*(x+6)*(6*x+8)) = 0 // * x*(x+6)*(6*x+8)
(x-6)*(x-8) = 0
( x-6 )
x-6 = 0 // + 6
x = 6
( x-8 )
x-8 = 0 // + 8
x = 8
x in { 6, 8 }
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