Ok there's a lot of things that need to be done, but I'll give what I think are the four most important.

1) End the war on drugs

2) Invest money into the ghettos (housing, schooling, welfare programs, etc.)

3) Solve the black unemployment problem

The war on drugs is an obvious one. It's motive is an entirely racist one. 60% of american prison population is black, and the war on drugs is one of the main reasons. If you haven't heard of it, you should look up the book The New Jim Crow. 1/3 of black males will be in prison cell at some point in their life. You cannot vote in prison, and in many states you cannot vote if you've ever been convicted of a felony even after release. For the issue of the ghettos, since they were entirely the creation of the government, here's a good read/listen on it, it should also be its responsibility to fix the ghettos. I could make a whole post on how we should be doing this, but you get the general idea. Put more money into inner city schools, not less, etc. Lastly there is a huge unemployment crisis in the ghettos. This is where me being a bit more of authoritarian socialist plays in. I believe in the private sector isn't giving these people jobs, it should be the role of the public sector to step in and provide jobs for these people. That's just an overview of some of the things I believe the government needs to do in order to handle racism in America.