LWP::UserAgent and 500 SSL negotiation failed - Stack Overflow

I then updated Crypt:SSLeay. That broke SSL altogether (caused the server to be unable to connect to any secure server).. Test 2: Updated Crypt::SSLeay without updating OpenSSL. Caused the server to unable to connect to secure servers again. Test 3: Updated OpenSSL to 1.0.2d. Updated LWP. Made no difference. Still got "500 SSL negotiation failed"