Actually, that's not quite true. You're getting Georg Hegel mixed up with Nicolo Machiavelli.
The meaning of the Hegelian dialectic as "Problem → Reaction → Solution" was popularized by David Icke and others, but Hegel never meant for it to ever mean anything other than that out of thesis and antithesis comes synthesis, which ─ I believe ─ actually traces back its origins to Friedrich Nietzsche.