Quick fix? Grab a toothpick and wedge it right there at the problem spot. Might make contact for another few years.
Better fix: Solder it real quick if you have an iron. Ive done hundreds of those little pads. Theyre small, but forgiving to a crappy solder joint given to super tiny amp draw.
Best fix: replace the strip. Find something rated to handle 14.4v if you can. These normal 12v strips will run super super super hot when they get 14.4v. LEDs are very susceptible to voltage. A tiny increase in voltage equals a very large change in amps.