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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

x^2+3*x+2 = 0

x^2+3*x+2 = 0

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

DELTA = 1

DELTA > 0

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

x = -1 or x = -2

x in { -2, -1} 

x in { -2, -1 }

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