When developing a recommendation for action that might be construed negatively by stakeholders, what technique should be incorporated in the communication?

The technique that should be incorporated is:  Factual information that supports the opinion
In a business environment, most shareholders would understand that there is some period where they would not receive a return as they expected.
In order to present this information to them, you need to respect their intelligence and use the most logical approach to give an explanation on how you reached your decisions.

Explanation:

yup they should colonize bcoz earth will face destruction but will take years and years