(3x-1/x-2)+3=(x/x-2)

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Solution for (3x-1/x-2)+3=(x/x-2) equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

3*x-(1/x)-2+3 = x/x-2 // - x/x-2

3*x-(1/x)-(x/x)-2+2+3 = 0

3*x-x^-1-2-1+2+3 = 0

3*x^1-1*x^-1+2*x^0 = 0

(3*x^2+2*x^1-1*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2+2*x^1-1*x^0) = 0

x^1

3*x^2+2*x-1 = 0

3*x^2+2*x-1 = 0

DELTA = 2^2-(-1*3*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)-2)/(2*3) or x = (-16^(1/2)-2)/(2*3)

x = 1/3 or x = -1

x in { -1, 1/3} 

x in { -1, 1/3 }

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