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D( x )
3-x = 0
x-3 = 0
3-x = 0
3-x = 0
3-x = 0 // - 3
-x = -3 // * -1
x = 3
x-3 = 0
x-3 = 0
x-3 = 0 // + 3
x = 3
x in (-oo:3) U (3:+oo)
x/(x-3)+(6-x)/(3-x) = 0
(x*(3-x))/((x-3)*(3-x))+((6-x)*(x-3))/((x-3)*(3-x)) = 0
x*(3-x)+(6-x)*(x-3) = 0
12*x-2*x^2-18 = 0
12*x-2*x^2-18 = 0
2*(6*x-x^2-9) = 0
6*x-x^2-9 = 0
DELTA = 6^2-(-9*(-1)*4)
DELTA = 0
x = -6/(-1*2)
x = 3 or x = 3
2*(x-3)^2 = 0
(2*(x-3)^2)/((x-3)*(3-x)) = 0
(2*(x-3)^2)/((x-3)*(3-x)) = 0 // * (x-3)*(3-x)
2*(x-3)^2 = 0
x-3 = 0 // + 3
x = 3
x in { 3}
x belongs to the empty set
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