2/x-10-3/x-2=6/x-10*x-2

Solution for 2/x-10-3/x-2=6/x-10*x-2 equation:

D( x )

x = 0

x = 0

x = 0

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

2/x-(3/x)-10-2 = 6/x-(10*x)-2 // - 6/x-(10*x)-2

10*x+2/x-(3/x)-(6/x)-10-2+2 = 0

10*x+2/x-3*x^-1-6*x^-1-10-2+2 = 0

10*x^1-7*x^-1-10*x^0 = 0

(10*x^2-10*x^1-7*x^0)/(x^1) = 0 // * x^2

x^1*(10*x^2-10*x^1-7*x^0) = 0

x^1

10*x^2-10*x-7 = 0

10*x^2-10*x-7 = 0

DELTA = (-10)^2-(-7*4*10)

DELTA = 380

DELTA > 0

x = (380^(1/2)+10)/(2*10) or x = (10-380^(1/2))/(2*10)

x = (2*95^(1/2)+10)/20 or x = (10-2*95^(1/2))/20

x in { (10-2*95^(1/2))/20, (2*95^(1/2)+10)/20} 

x in { (10-2*95^(1/2))/20, (2*95^(1/2)+10)/20 }