-(7/4w+8)+1=(4/w+2)

Solution for -(7/4w+8)+1=(4/w+2) equation:

D( w )

w = 0

w = 0

w = 0

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

1-((7/4)*w)-8 = 4/w+2 // - 4/w+2

1-((7/4)*w)-(4/w)-8-2 = 0

(-7/4)*w-4*w^-1-8-2+1 = 0

-7/4*w^1-4*w^-1-9*w^0 = 0

(-7/4*w^2-9*w^1-4*w^0)/(w^1) = 0 // * w^2

w^1*(-7/4*w^2-9*w^1-4*w^0) = 0

w^1

(-7/4)*w^2-9*w-4 = 0

(-7/4)*w^2-9*w-4 = 0

DELTA = (-9)^2-(-4*4*(-7/4))

DELTA = 53

DELTA > 0

w = (53^(1/2)+9)/(2*(-7/4)) or w = (9-53^(1/2))/(2*(-7/4))

w = -2/7*(53^(1/2)+9) or w = -2/7*(9-53^(1/2))

w in { -2/7*(53^(1/2)+9), -2/7*(9-53^(1/2))} 

w in { -2/7*(53^(1/2)+9), -2/7*(9-53^(1/2)) }