In matters of mixed state and local concern, state law supersedes conflicting local regulations. Operational conflict exists, and state law preempts local regulation, when the effectuation of a local interest materially impedes or destroys a state interest. A local ordinance that forbids what state law authorizes (or authorizes what state law forbids) necessarily satisfies this standard. The determination of whether a matter is one of statewide, local, or mixed concern is separate and distinct from the determination of whether a conflict exists. Factors for determining whether a matter is of statewide, local, or mixed concern include: (1) need for statewide uniformity, (2) extraterritorial impact, (3) whether state or local governments traditionally regulated the matter, and (4) whether the constitution specifically commits the matter to state or local regulation. Preemption analysis requires assessment of the interplay between state and local regulatory schemes through facial evaluation, not factual inquiry into on-the-ground effects. When a home-rule city's regulation banning fracking entirely renders extensive state regulations governing fracking superfluous, it materially impedes the state's interest in efficient and responsible oil and gas development and is therefore preempted.