x-14/x-12=7/8

Solution for x-14/x-12=7/8 equation:

D( x )

x = 0

x = 0

x = 0

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

x-(14/x)-12 = 7/8 // - 7/8

x-(14/x)-(7/8)-12 = 0

x-14*x^-1-7/8-12 = 0

1*x^1-14*x^-1-103/8*x^0 = 0

(1*x^2-103/8*x^1-14*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-103/8*x^1-14*x^0) = 0

x^1

x^2+(-103/8)*x-14 = 0

x^2+(-103/8)*x-14 = 0

DELTA = (-103/8)^2-(-14*1*4)

DELTA = 14193/64

DELTA > 0

x = ((14193/64)^(1/2)-(-103/8))/(1*2) or x = (-(-103/8)-(14193/64)^(1/2))/(1*2)

x = ((14193/64)^(1/2)+103/8)/2 or x = (103/8-(14193/64)^(1/2))/2

x in { (103/8-(14193/64)^(1/2))/2, ((14193/64)^(1/2)+103/8)/2} 

x in { (103/8-(14193/64)^(1/2))/2, ((14193/64)^(1/2)+103/8)/2 }