(6/5x)-1=3/x

Solution for (6/5x)-1=3/x equation:

D( x )

x = 0

x = 0

x = 0

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

(6/5)*x-1 = 3/x // - 3/x

(6/5)*x-(3/x)-1 = 0

(6/5)*x-3*x^-1-1 = 0

6/5*x^1-3*x^-1-1*x^0 = 0

(6/5*x^2-1*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(6/5*x^2-1*x^1-3*x^0) = 0

x^1

(6/5)*x^2-x-3 = 0

(6/5)*x^2-x-3 = 0

DELTA = (-1)^2-(-3*4*(6/5))

DELTA = 77/5

DELTA > 0

x = ((77/5)^(1/2)+1)/(2*(6/5)) or x = (1-(77/5)^(1/2))/(2*(6/5))

x = 5/12*((77/5)^(1/2)+1) or x = 5/12*(1-(77/5)^(1/2))

x in { 5/12*(1-(77/5)^(1/2)), 5/12*((77/5)^(1/2)+1)} 

x in { 5/12*(1-(77/5)^(1/2)), 5/12*((77/5)^(1/2)+1) }