(2/w-6)=-(5/4w-24)+1

Solution for (2/w-6)=-(5/4w-24)+1 equation:

D( w )

w = 0

w = 0

w = 0

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

2/w-6 = 1-((5/4)*w)+24 // - 1-((5/4)*w)+24

(5/4)*w+2/w-24-6-1 = 0

5/4*w^1+2*w^-1-31*w^0 = 0

(5/4*w^2-31*w^1+2*w^0)/(w^1) = 0 // * w^2

w^1*(5/4*w^2-31*w^1+2*w^0) = 0

w^1

(5/4)*w^2-31*w+2 = 0

(5/4)*w^2-31*w+2 = 0

DELTA = (-31)^2-(2*4*(5/4))

DELTA = 951

DELTA > 0

w = (951^(1/2)+31)/(2*(5/4)) or w = (31-951^(1/2))/(2*(5/4))

w = 2/5*(951^(1/2)+31) or w = 2/5*(31-951^(1/2))

w in { 2/5*(31-951^(1/2)), 2/5*(951^(1/2)+31)} 

w in { 2/5*(31-951^(1/2)), 2/5*(951^(1/2)+31) }