You can uninstall or removes an installed libssl1.0.0 package itself from Ubuntu 14.04 LTS (Trusty Tahr) through the terminal,
$ sudo apt-get remove libssl1.0.0
If you would like to remove libssl1.0.0 and it's dependent packages which are no longer needed from Ubuntu,
$ sudo apt-get remove --auto-remove libssl1.0.0
If you use with purge options to libssl1.0.0 package all the configuration and dependent packages will be removed.
$ sudo apt-get purge libssl1.0.0
If you use purge options along with auto remove, will be removed everything regarding the package, It's really useful when you want to reinstall again.
$ sudo apt-get purge --auto-remove libssl1.0.0
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