3x/x+2-3=x-14/x-2

Solution for 3x/x+2-3=x-14/x-2 equation:

D( x )

x = 0

x = 0

x = 0

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

(3*x)/x-3+2 = x-(14/x)-2 // - x-(14/x)-2

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

14*x^-1-1*x^1+4*x^0 = 0

(4*x^1-1*x^2+14*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^1-1*x^2+14*x^0) = 0

x^1

4*x-x^2+14 = 0

4*x-x^2+14 = 0

DELTA = 4^2-(-1*4*14)

DELTA = 72

DELTA > 0

x = (72^(1/2)-4)/(-1*2) or x = (-72^(1/2)-4)/(-1*2)

x = (6*2^(1/2)-4)/(-2) or x = (-6*2^(1/2)-4)/(-2)

x in { (6*2^(1/2)-4)/(-2), (-6*2^(1/2)-4)/(-2)} 

x in { (6*2^(1/2)-4)/(-2), (-6*2^(1/2)-4)/(-2) }