I had the same problem when trying to run Construct 2 on my other computer that has Windows XP SP3 installed on it. I tried everything suggested on the Construct forums and nothing worked. The only fix that I found was to uninstall the newer Construct version and install a slightly older version of Construct 2. The version is r201
. You can grab it here: https://www.scirra.com/construct2/releases
Ashley had mentioned in one of his post that there was indeed a change to the preview on version r202, I believe. As far as I know, any version above r201 won't work on Windows Xp SP3 that I have tried(at least on my machine). Correct me if I'm wrong, but it seems to be a bug since Windows XP is becoming so outdated. The newer versions of Construct 2 (r202 and higher) ran excellent on my Windows 7 Professional PC (though I never test on my other PC with Windows Home version)
So for anybody having this same issue, and if all else fails -- I recommend uninstalling the current Construct 2 version you have (if it is r202 or above) and install version r201 instead (1st Apr, 2015). It is the only work around on this issue I have found for my XP machine.
It kinda sucks downgrading, but if you don't have a Windows 7 Pro O.S. then you can fall back on this until you get the O.S. or a new PC with Windows 7 Pro (or higher) on it.