(8x/x+3)-8=(x-14/x-3)

Solution for (8x/x+3)-8=(x-14/x-3) equation:

D( x )

x = 0

x = 0

x = 0

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

(8*x)/x-8+3 = x-(14/x)-3 // - x-(14/x)-3

14/x-x+(8*x)/x-8+3+3 = 0

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

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

x^1*(6*x^1-1*x^2+14*x^0) = 0

x^1

6*x-x^2+14 = 0

6*x-x^2+14 = 0

DELTA = 6^2-(-1*4*14)

DELTA = 92

DELTA > 0

x = (92^(1/2)-6)/(-1*2) or x = (-92^(1/2)-6)/(-1*2)

x = (2*23^(1/2)-6)/(-2) or x = (-2*23^(1/2)-6)/(-2)

x in { (2*23^(1/2)-6)/(-2), (-2*23^(1/2)-6)/(-2)} 

x in { (2*23^(1/2)-6)/(-2), (-2*23^(1/2)-6)/(-2) }