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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3*x-(1/2) = 7/x-2 // - 7/x-2
3*x-(7/x)-(1/2)+2 = 0
3*x-7*x^-1-1/2+2 = 0
3*x^1-7*x^-1+3/2*x^0 = 0
(3*x^2+3/2*x^1-7*x^0)/(x^1) = 0 // * x^2
x^1*(3*x^2+3/2*x^1-7*x^0) = 0
x^1
3*x^2+(3/2)*x-7 = 0
3*x^2+(3/2)*x-7 = 0
DELTA = (3/2)^2-(-7*3*4)
DELTA = 345/4
DELTA > 0
x = ((345/4)^(1/2)-(3/2))/(2*3) or x = (-(3/2)-(345/4)^(1/2))/(2*3)
x = ((345/4)^(1/2)-3/2)/6 or x = (-((345/4)^(1/2)+3/2))/6
x in { (-((345/4)^(1/2)+3/2))/6, ((345/4)^(1/2)-3/2)/6}
x in { (-((345/4)^(1/2)+3/2))/6, ((345/4)^(1/2)-3/2)/6 }
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