6/x+3=4/2x-7

Solution for 6/x+3=4/2x-7 equation:

D( x )

x = 0

x = 0

x = 0

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

6/x+3 = (4/2)*x-7 // - (4/2)*x-7

6/x-((4/2)*x)+3+7 = 0

6/x-2*x+3+7 = 0

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

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

x^1*(10*x^1-2*x^2+6*x^0) = 0

x^1

10*x-2*x^2+6 = 0

10*x-2*x^2+6 = 0

DELTA = 10^2-(-2*4*6)

DELTA = 148

DELTA > 0

x = (148^(1/2)-10)/(-2*2) or x = (-148^(1/2)-10)/(-2*2)

x = (2*37^(1/2)-10)/(-4) or x = (-2*37^(1/2)-10)/(-4)

x in { (2*37^(1/2)-10)/(-4), (-2*37^(1/2)-10)/(-4)} 

x in { (2*37^(1/2)-10)/(-4), (-2*37^(1/2)-10)/(-4) }