Every time I do laundry the soapy water leaks all over the basement floor. Landlord doesn't seem to think it's an issue but it stinks and seems dangerous to be doing laundry while standing in a puddle of water. Is there anything I can do to stop the soapy water from leaking all over the basement floor? It's coming out of the back/bottom of washer.

If you are sure its not the drain that is leaking the soapy water, but it is defenatley the washer itself leaking, then you will most likely need an applience repair person to come fix the problem or purchase a new washer.