The phrase "careful consideration" means thinking carefully and thoroughly about something before making a decision or taking an action. It involves weighing different factors and analyzing the possible consequences. Full definition
When conservative politicians and pundits challenge that consensus, they do so not on the basis of careful consideration of the evidence — come on, who are we kidding? (globalpossibilities.org)
An investment will be made after careful consideration of all the factors affecting a situation. (bestbabystrollerjudge.com)
However, refinancing into a different type of mortgage requires careful consideration of how monthly payments and terms could change. (valuepenguin.com)