So here's what I'd do:
Draw a graph of . It's easy to do .... just draw and reflect in the x-axis the part below the x-axis. Don't be too fussed about where the x-intercepts are, by the way - they are unimportant.
Now draw a graph of .
It should be easy now to see that the line y = 2 cuts at four points. If you know the x-coordinates of those four points you can easily construct the intervals over which .....
You can see from the graph when you want to solve and when you want to solve in order to get those x-intercepts.