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D( x )
x-4 = 0
x-4 = 0
x-4 = 0
x-4 = 0 // + 4
x = 4
x in (-oo:4) U (4:+oo)
(2*x+3)/2-((3*x)/(x-4)) = x // - x
(2*x+3)/2-((3*x)/(x-4))-x = 0
(2*x+3)/2-3*x*(x-4)^-1-x = 0
(2*x+3)/2+(-3*x)/(x-4)-x = 0
((2*x+3)*(x-4))/(2*(x-4))+(-3*2*x)/(2*(x-4))+(2*(-x)*(x-4))/(2*(x-4)) = 0
(2*x+3)*(x-4)+2*(-x)*(x-4)-3*2*x = 0
2*x^2-2*x^2-11*x+8*x-12 = 0
-3*x-12 = 0
(-3*x-12)/(2*(x-4)) = 0
(-3*x-12)/(2*(x-4)) = 0 // * 2*(x-4)
-3*x-12 = 0
-3*x-12 = 0 // + 12
-3*x = 12 // : -3
x = 12/(-3)
x = -4
x = -4
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