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D( x )
x = 0
x+3 = 0
x = 0
x = 0
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x in (-oo:-3) U (-3:0) U (0:+oo)
6/x+(2*x)/x-3+3 = (-28/(x+3))*(x-3) // - (-28/(x+3))*(x-3)
6/x-((-28/(x+3))*(x-3))+(2*x)/x-3+3 = 0
28*(x-3)*(x+3)^-1+6/x+(2*x)/x-3+3 = 0
(28*(x-3))/(x+3)+6/x-3+2+3 = 0
(28*x*(x-3))/(x*(x+3))+(6*(x+3))/(x*(x+3))+(2*x*(x+3))/(x*(x+3))+(-3*x*(x+3))/(x*(x+3))+(3*x*(x+3))/(x*(x+3)) = 0
28*x*(x-3)+6*(x+3)+2*x*(x+3)-3*x*(x+3)+3*x*(x+3) = 0
28*x^2+2*x^2-3*x^2+3*x^2-78*x+6*x-9*x+9*x+18 = 0
30*x^2-3*x^2+3*x^2-72*x-9*x+9*x+18 = 0
27*x^2+3*x^2-81*x+9*x+18 = 0
30*x^2-72*x+18 = 0
30*x^2-72*x+18 = 0
6*(5*x^2-12*x+3) = 0
5*x^2-12*x+3 = 0
DELTA = (-12)^2-(3*4*5)
DELTA = 84
DELTA > 0
x = (84^(1/2)+12)/(2*5) or x = (12-84^(1/2))/(2*5)
x = (2*21^(1/2)+12)/10 or x = (12-2*21^(1/2))/10
6*(x-((12-2*21^(1/2))/10))*(x-((2*21^(1/2)+12)/10)) = 0
(6*(x-((12-2*21^(1/2))/10))*(x-((2*21^(1/2)+12)/10)))/(x*(x+3)) = 0
(6*(x-((12-2*21^(1/2))/10))*(x-((2*21^(1/2)+12)/10)))/(x*(x+3)) = 0 // * x*(x+3)
6*(x-((12-2*21^(1/2))/10))*(x-((2*21^(1/2)+12)/10)) = 0
( x-((12-2*21^(1/2))/10) )
x-((12-2*21^(1/2))/10) = 0 // + (12-2*21^(1/2))/10
x = (12-2*21^(1/2))/10
( x-((2*21^(1/2)+12)/10) )
x-((2*21^(1/2)+12)/10) = 0 // + (2*21^(1/2)+12)/10
x = (2*21^(1/2)+12)/10
x in { (12-2*21^(1/2))/10, (2*21^(1/2)+12)/10 }
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