There are positive and negative stakeholders in every project (according to PMBOK). Positive ones will benefit from project implementation, for example their work will become more effective, more automated, easier, and more fun. At the same time negative stakeholders will have problems once the project is implemented. For example, they will be fired because their job will be done by new software.

It's a project manager responsibility to take negative stakeholders into account and neutralize their influence to the project affairs. How do you do this in your real-life projects? What are the most effective methods?