We consider warped compactifications of M-theory to three-dimensional Minko
wski space on compact eight-manifolds. Taking all the leading quantum gravi
ty corrections of eleven-dimensional supergravity into account we obtain th
e solution to the equations of motion and Bianchi identities. Generically t
hese vacua are not supersymmetric and yet have a vanishing three-dimensiona
l cosmological constant.