Comment 37 for bug 969343

I will explain how I did it: revert to openssl and libssl1.0.0 version 1.0.0e-2ubuntu4

Open Terminal: type shell commands without the surrounding ""
"apt-cache showpkg openssl" will show which versions of openssl you have available on your system
If openssl is somewhere in the 'Provides:' list just do
"apt-get install openssl=1.0.0e-2ubuntu4" and "apt-get install libssl1.0.0=1.0.0e-2ubuntu4"

If you do not have the old versions in the apt-cache you can fetch them from
http://mirror01.th.ifl.net/ubuntu/pool/main/o/openssl/ (or another mirror, just an example)
You 'll need to get openssl_1.0.0e-2ubuntu4_i386.deb or the amd64 variant if your machine is 64 bit (you can check that with "uname -p" if it is 'x86_64' you need the amd64 variant)
And you 'll also need libssl1.0.0_1.0.0e-2ubuntu4_i386.deb or the amd64 variant, same rule here.

Get these two files to the affected computer with a flash drive, I got them by booting the install disk and downloading them there, then copy them to my harddisk. So you don't need two PCs but it is easier.

Go to the directory that contain the two deb files you need.
"cd /media" to go to the place where all these things are mounted
"ls" to see a list of flash drives... that are mounted
"cd nameofdrive" to go into that drive
You may need to cd your way through all the subfolders until "ls" gives you the name of the two deb files

Then you install these deb files with
"dpkg -iR ." this means install all debian packages from the folder '.'(and folder '.' is always the current folder you "cd"ed to)

Done, check "apt-cache showpkg openssl" to see the version is added

Now it is easiest to reboot, you could also kill all affected processes and restart them, but it may take you longer than a simple reboot.

This is what I did if I recall correctly.
Another option is given by diane-trout above.