-(1/2w-8)+4=(1/w-4)

Solution for -(1/2w-8)+4=(1/w-4) equation:

D( w )

w = 0

w = 0

w = 0

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

4-((1/2)*w)+8 = 1/w-4 // - 1/w-4

4-((1/2)*w)-(1/w)+4+8 = 0

(-1/2)*w-w^-1+4+4+8 = 0

16*w^0-1/2*w^1-1*w^-1 = 0

(16*w^1-1/2*w^2-1*w^0)/(w^1) = 0 // * w^2

w^1*(16*w^1-1/2*w^2-1*w^0) = 0

w^1

(-1/2)*w^2+16*w-1 = 0

(-1/2)*w^2+16*w-1 = 0

DELTA = 16^2-(-1*4*(-1/2))

DELTA = 254

DELTA > 0

w = (254^(1/2)-16)/(2*(-1/2)) or w = (-254^(1/2)-16)/(2*(-1/2))

w = 16-254^(1/2) or w = 254^(1/2)+16

w in { 16-254^(1/2), 254^(1/2)+16} 

w in { 16-254^(1/2), 254^(1/2)+16 }