(-5/3u+18)+1=(-1/u+6)

Solution for (-5/3u+18)+1=(-1/u+6) equation:

D( u )

u = 0

u = 0

u = 0

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

(-5/3)*u+1+18 = 6-1/u // - 6-1/u

(-5/3)*u-(-1/u)-6+1+18 = 0

(-5/3)*u+u^-1-6+1+18 = 0

1*u^-1-5/3*u^1+13*u^0 = 0

(13*u^1-5/3*u^2+1*u^0)/(u^1) = 0 // * u^2

u^1*(13*u^1-5/3*u^2+1*u^0) = 0

u^1

(-5/3)*u^2+13*u+1 = 0

(-5/3)*u^2+13*u+1 = 0

DELTA = 13^2-(1*4*(-5/3))

DELTA = 527/3

DELTA > 0

u = ((527/3)^(1/2)-13)/(2*(-5/3)) or u = (-(527/3)^(1/2)-13)/(2*(-5/3))

u = -3/10*((527/3)^(1/2)-13) or u = 3/10*((527/3)^(1/2)+13)

u in { -3/10*((527/3)^(1/2)-13), 3/10*((527/3)^(1/2)+13)} 

u in { -3/10*((527/3)^(1/2)-13), 3/10*((527/3)^(1/2)+13) }