  We derive a non-BPS linear ansatz using the charged Weyl formalism in string
and M-theory backgrounds. Generic solutions are static and axially-symmetric
with an arbitrary number of non-BPS sources corresponding to various brane,
momentum and KKm charges. Regular sources are either four-charge non-extremal
black holes or smooth non-BPS bubbles. We construct several families such as
chains of non-extremal black holes or smooth non-BPS bubbling geometries and
study their physics. The smooth horizonless geometries can have the same mass
and charges as non-extremal black holes. Furthermore, we find examples that
scale towards the four-charge BPS black hole when the non-BPS parameters are
taken to be small, but the horizon is smoothly resolved by adding a small
amount of non-extremality.
