First of all, Moses became overwhelmed. He was trying to lead the people and take care of their needs and wants. He goes to the Lord with his problems. In verse 11 he says, "wherefore hast thou afflicted thy servant? and wherefore have I not found favour in thy sight, that thou layest the burden of all this people upon me." Then in verse 14 he continues, "I am not able to bear all this people alone, because it is too heavy for me." The Lord does not turn away from Moses in his time of need. Instead, He tells Moses, "Gather unto me seventy men of the elders of Israel, whom thou knowest to be the elders of the people,and officers over them...(Numbers 11:16)" Moses was then able to have some of his burden lifted because he could delegate some of his responsibilities to the seventy men that were chosen.
The other result to the complaints Moses brought to the Lord was that the people were finally given meat to eat, but there was a catch. They were given so much that they had more than they needed. At that time, the Lord used the meat to make the people sick with the plague (Numbers 11:33).
I really liked reading this chapter of the Old Testament. If you have been putting off reading this great book of scripture, stop reading what you have been reading and read this instead.