It could be a zillion things but some are more likely that others. First of all, you didn't say if you did any maintenance and if not was any maintenance done on the motors recently. You could have bad gas, perhaps water from sitting. You need to remove and drain filter contents into a clear jar and let it sit for 15 minutes or so.
You should pull and inspect your spark plugs to see if they are fouled or too dry ( no fuel).
You might have unbalanced props or spun hubs. Sometimes that causes shaking and vibration at low speeds, sometimes at higher speeds. In any case take a look at the props for obvious damage. Note that if the props are the issue, the vibrations will be a lot less when the motors are in neutral as opposed to in gear.
In general if two motors started having issues at the same time, I would suspect bad gas first.