-3=(x-6/x-2)

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Solution for -3=(x-6/x-2) equation: 


D( x )

x = 0

x = 0

x = 0

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

-3 = x-(6/x)-2 // - x-(6/x)-2

6/x-x-3+2 = 0

6*x^-1-1*x^1-1*x^0 = 0

(6*x^0-1*x^2-1*x^1)/(x^1) = 0 // * x^2

x^1*(6*x^0-1*x^2-1*x^1) = 0

x^1

6-x^2-x = 0

6-x^2-x = 0

DELTA = (-1)^2-(-1*4*6)

DELTA = 25

DELTA > 0

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

x = -3 or x = 2

x in { -3, 2} 

x in { -3, 2 }

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