Benzema doubled his tally and set up Gareth Bale in the space of 144 seconds towards the end of the first half, and Toni Kroos floated a attractive 67th-minute chip home to wrap up the win and leave Plzen playing exclusively for third place. The Argentine is now the first Madrid coach since the 1950s to win his first three games without conceding even once. Made two routine saves from Jan Kopik when Plzen went looking for a consolation in the second half.
Viktoria could not capitalise on the uncertainty in the Madrid ranks, though, coming closest to a breakthrough when Patrik Hrosovsky - on the scoresheet in the 2-1 loss at the Bernabeu a fortnight ago - sent in a powerful cross that hit Nacho Fernandez and came back off the crossbar.
In fact, the 5-0 win for Madrid over Plzen is the biggest ever by a Spanish side away to a Czech team in European competition.
Solari handed Javi Sanchez and Vinicius Junior Champions League debuts in place of Ramos and Benzema and the Brazilian marked the occasion by setting up Kroos for a fine goal. Took his goal well but still below top form.
Madrid were dominate throughout and Toni Kroos added an impressive fifth after the interval when he chipped goalkeeper from inside the area.
Liverpool stars must take blame for Euro slump, says Lallana
"We lost our mojo in the game, not in general", he said. "Away from home last season we were very good in the Champions League ". Liverpool's trip to the Parc des Princes on 28 November has assumed greater importance for both teams after this week's results.
FW Lucas Vazquez, 5 - A surprise pick on the right wing ahead of Marco Asensio or Isco, the Galician blew three chances to get on the scoresheet in a generally below-par showing.
By surpassing 200 goals for Madrid, Benzema became just the seventh player to reach the total in the club's history, joining names like Cristiano Ronaldo, Raul and Alfredo Di Stefano. A sharper Bale would probably have wreaked more havok though.
Things could have turned out much differently on the night as Real initially struggled in an unorthodox 4-3-3 formation that had Dani Ceballos - in for Luka Modric in one of two changes - fielded just behind Karim Benzema.
MF Isco, N/R - Not yet been picked by Solari in an XI, and unhappy to have been third in off the bench either.