Don't use safe mode to install XAMPP.
Uninstall your current instance by following the methods in the XAMPP for Windows home page.http://www.apachefriends.org/en/xampp-windows.html#524
Make sure all traces of your previous installation attempts are completely removed.
Re-install but don't use safe mode and make sure you are logged into XP with administrator privileges.http://www.apachefriends.org/en/xampp-windows.html#522
Then after install is complete and you have started Apache and MySQL from the XAMPP Control Panel (XCP) so both are showing a green running indication, test your installation by going to http://localhost
in your browser or using the Admin...
button in the XCP.
Any errors should be investigated using the Apache log files.
It is a good idea to read the whole of the XAMPP for Windows
home page and the linked FAQ
as they both have very useful information and help.