How can I reattach a kitchen cabinet door hinge with plastic dowels?
I think a similar question has been answered before but I can't find it at the moment.


Open that hinge and unscrew the metal screws that are now holding the plastic plugs to the hinge.
Use 2-part epoxy to attach the plastic plugs into the craters in the cupboard side. Take care to get them located in exactly right position and flush with the surface. If necessary make a jig using scrap wood. Use clamps or a jig to hold everything in position until set.
Level the feet on the washing machine (one or more will have a hexagonal nut you turn to raise or lower that foot)
Ensure you always load the machine so that it doesn't get out of balance. Some machines have that sort of problem with part loads. Check the manual.
Accept that despite all the above, the material and fixing method are too weak for the stress you are applying
Add two additional hinges to the two that currently support the door. You can buy those hinges and you can also buy installation kits that include the appropriate sized forstner bits and jigs to align and locate the holes properly.