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D( x )
x-3 = 0
2*x-6 = 0
x-3 = 0
x-3 = 0
x-3 = 0 // + 3
x = 3
2*x-6 = 0
2*x-6 = 0
2*x-6 = 0 // + 6
2*x = 6 // : 2
x = 6/2
x = 3
x in (-oo:3) U (3:+oo)
2/(x-3)+(4*x)/(2*x-6) = 6 // - 6
2/(x-3)+(4*x)/(2*x-6)-6 = 0
(2*(2*x-6))/((x-3)*(2*x-6))+(4*x*(x-3))/((x-3)*(2*x-6))+(-6*(x-3)*(2*x-6))/((x-3)*(2*x-6)) = 0
2*(2*x-6)+4*x*(x-3)-6*(x-3)*(2*x-6) = 0
4*x^2-12*x^2-8*x+72*x-108-12 = 0
64*x-8*x^2-120 = 0
64*x-8*x^2-120 = 0
8*(8*x-x^2-15) = 0
8*x-x^2-15 = 0
DELTA = 8^2-(-15*(-1)*4)
DELTA = 4
DELTA > 0
x = (4^(1/2)-8)/(-1*2) or x = (-4^(1/2)-8)/(-1*2)
x = 3 or x = 5
8*(x-3)*(x-5) = 0
(8*(x-3)*(x-5))/((x-3)*(2*x-6)) = 0
(8*(x-3)*(x-5))/((x-3)*(2*x-6)) = 0 // * (x-3)*(2*x-6)
8*(x-3)*(x-5) = 0
( x-3 )
x-3 = 0 // + 3
x = 3
( x-5 )
x-5 = 0 // + 5
x = 5
x in { 3}
x = 5
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