How to root Kindle Fire HD 8.9"

I have purchased a Kindle Fire HD 2. Generation (2012) and wanted to root it. I followed the instructions from [Rooting a new Kindle Fire HD](https://android.stackexchange.com/questions/49248/rooting-a-new-kindle-fire-hd-july-13) and and other instructions found via google. When I run the Bin4ry version, the pad is really slow afterwards for some reason. I found [this](https://android.stackexchange.com/questions/36448/kindle-fire-hd-7-runs-very-slowly-after-rooting) thread here, but it's not really helpfull. I also tried the Qemu version, but this also doesn't work. The only thing this resolves is that it runs at normal speed after it's done, but the device is not rooted. So are there any tips on how to do this? I would like to get Google Playstore running, instead of being chained to Amazon. All information I find with google leads me back to the same solutions which don't work.