Hello, I don't believe that there is a way to do this. It is part of Joomla's security system that the front and backend logins are different. To try to change this would weaken the security of your site, plus would probably require some hacks to the core code.
I had a similar problem a while back, in the end I came to the conclusion that it is better to include the form in the backend of the site.
If you don't want to duplicate the code that generates the form you can include it through PHP, but simply have the final generation of the form done through separate views in the front and back end.