It's not at all intractable. Giving jobs to the jobless and homes to the homeless is exactly as straightforward as it looks.
The homeless and jobless serve a function, though - to keep wages and agitation down for the precariously employed and the precariously housed. They're like this mainly for the benefit of corporations like Amazon which farm cheap labor.
Effectively the homeless serve as a form of 'public good' for the owners of capital.
That's why proposals to house or give homeless jobs with government money are met with sheer disgust by the same media that happily endorses spending billions of dollars dropping bombs on brown children.