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D( x )
x-5 = 0
4*x-20 = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
4*x-20 = 0
4*x-20 = 0
4*x-20 = 0 // + 20
4*x = 20 // : 4
x = 20/4
x = 5
x in (-oo:5) U (5:+oo)
2/(x-5)-(8/(4*x-20)) = 13 // - 13
2/(x-5)-(8/(4*x-20))-13 = 0
2/(x-5)-8*(4*x-20)^-1-13 = 0
2/(x-5)-8/(4*x-20)-13 = 0
(2*(4*x-20))/((x-5)*(4*x-20))+(-8*(x-5))/((x-5)*(4*x-20))+(-13*(x-5)*(4*x-20))/((x-5)*(4*x-20)) = 0
2*(4*x-20)-8*(x-5)-13*(x-5)*(4*x-20) = 0
520*x-52*x^2-1300 = 0
520*x-52*x^2-1300 = 0
52*(10*x-x^2-25) = 0
10*x-x^2-25 = 0
DELTA = 10^2-(-25*(-1)*4)
DELTA = 0
x = -10/(-1*2)
x = 5 or x = 5
52*(x-5)^2 = 0
(52*(x-5)^2)/((x-5)*(4*x-20)) = 0
(52*(x-5)^2)/((x-5)*(4*x-20)) = 0 // * (x-5)*(4*x-20)
52*(x-5)^2 = 0
( 52 )
52 = 0
x belongs to the empty set
( x-5 )
x-5 = 0 // + 5
x = 5
x in { 5}
x belongs to the empty set
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