(-7/3u-9)-4=(-8/u-3)

Solution for (-7/3u-9)-4=(-8/u-3) equation:

D( u )

u = 0

u = 0

u = 0

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

(-7/3)*u-9-4 = -8/u-3 // + -8/u-3

(-7/3)*u-(-8/u)-9-4+3 = 0

(-7/3)*u+8*u^-1-9-4+3 = 0

8*u^-1-7/3*u^1-10*u^0 = 0

(8*u^0-7/3*u^2-10*u^1)/(u^1) = 0 // * u^2

u^1*(8*u^0-7/3*u^2-10*u^1) = 0

u^1

(-7/3)*u^2-10*u+8 = 0

(-7/3)*u^2-10*u+8 = 0

DELTA = (-10)^2-(4*8*(-7/3))

DELTA = 524/3

DELTA > 0

u = ((524/3)^(1/2)+10)/(2*(-7/3)) or u = (10-(524/3)^(1/2))/(2*(-7/3))

u = -3/14*((524/3)^(1/2)+10) or u = -3/14*(10-(524/3)^(1/2))

u in { -3/14*((524/3)^(1/2)+10), -3/14*(10-(524/3)^(1/2))} 

u in { -3/14*((524/3)^(1/2)+10), -3/14*(10-(524/3)^(1/2)) }