x/x-2+2=2x-2/x-2

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


D( x )

x = 0

x = 0

x = 0

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

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

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

2/x-2*x+x/x-2+2+2 = 0

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

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

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

x^1

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

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

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

DELTA = 25

DELTA > 0

x = (25^(1/2)-3)/(-2*2) or x = (-25^(1/2)-3)/(-2*2)

x = -1/2 or x = 2

x in { -1/2, 2} 

x in { -1/2, 2 }

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