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D( x )
8-x = 0
x-8 = 0
8-x = 0
8-x = 0
8-x = 0 // - 8
-x = -8 // * -1
x = 8
x-8 = 0
x-8 = 0
x-8 = 0 // + 8
x = 8
x in (-oo:8) U (8:+oo)
(2*x-5)/(x-8)-((3*x+4)/(8-x)) = 0
(2*x-5)/(x-8)+(-1*(3*x+4))/(8-x) = 0
((2*x-5)*(8-x))/((x-8)*(8-x))+(-1*(3*x+4)*(x-8))/((x-8)*(8-x)) = 0
(2*x-5)*(8-x)-1*(3*x+4)*(x-8) = 0
41*x-5*x^2-8 = 0
41*x-5*x^2-8 = 0
41*x-5*x^2-8 = 0
DELTA = 41^2-(-8*(-5)*4)
DELTA = 1521
DELTA > 0
x = (1521^(1/2)-41)/(-5*2) or x = (-1521^(1/2)-41)/(-5*2)
x = 1/5 or x = 8
(x-1/5)*(x-8) = 0
((x-1/5)*(x-8))/((x-8)*(8-x)) = 0
((x-1/5)*(x-8))/((x-8)*(8-x)) = 0 // * (x-8)*(8-x)
(x-1/5)*(x-8) = 0
( x-1/5 )
x-1/5 = 0 // + 1/5
x = 1/5
( x-8 )
x-8 = 0 // + 8
x = 8
x in { 8}
x = 1/5
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