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D( x )
x-2 = 0
x = 0
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
x = 0
x = 0
x in (-oo:0) U (0:2) U (2:+oo)
6/x-2 = (6/(x-2))*(x+7)-6/x+7 // - (6/(x-2))*(x+7)-6/x+7
6/x-((6/(x-2))*(x+7))-(-6/x)-7-2 = 0
6/x-6*(x-2)^-1*(x+7)+6*x^-1-7-2 = 0
(-6*(x+7))/(x-2)+6/x+6/x-7-2 = 0
(-6*x*(x+7))/(x*(x-2))+(6*(x-2))/(x*(x-2))+(6*(x-2))/(x*(x-2))+(-7*x*(x-2))/(x*(x-2))+(-2*x*(x-2))/(x*(x-2)) = 0
6*(x-2)-6*x*(x+7)+6*(x-2)-7*x*(x-2)-2*x*(x-2) = 0
6*x-6*x^2-7*x^2-2*x^2-36*x+14*x+4*x-12-12 = 0
14*x-6*x^2-7*x^2-2*x^2-30*x+4*x-24 = 0
4*x-13*x^2-2*x^2-16*x-24 = 0
-15*x^2-12*x-24 = 0
-15*x^2-12*x-24 = 0
-3*(5*x^2+4*x+8) = 0
5*x^2+4*x+8 = 0
DELTA = 4^2-(4*5*8)
DELTA = -144
DELTA < 0
-3 = 0
-3/(x*(x-2)) = 0
-3/(x*(x-2)) = 0 // * x*(x-2)
-3 = 0
x belongs to the empty set
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