2/x-1=4/10x

Solution for 2/x-1=4/10x equation:

D( x )

x = 0

x = 0

x = 0

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

2/x-1 = (4/10)*x // - (4/10)*x

2/x-((4/10)*x)-1 = 0

(-2/5)*x+2/x-1 = 0

2*x^-1-2/5*x^1-1*x^0 = 0

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

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

x^1

(-2/5)*x^2-x+2 = 0

(-2/5)*x^2-x+2 = 0

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

DELTA = 21/5

DELTA > 0

x = ((21/5)^(1/2)+1)/(2*(-2/5)) or x = (1-(21/5)^(1/2))/(2*(-2/5))

x = -5/4*((21/5)^(1/2)+1) or x = -5/4*(1-(21/5)^(1/2))

x in { -5/4*((21/5)^(1/2)+1), -5/4*(1-(21/5)^(1/2))} 

x in { -5/4*((21/5)^(1/2)+1), -5/4*(1-(21/5)^(1/2)) }