Bayern suffered a 4-2 loss to Real Madrid after extra time in the second leg of their quarter-final tie on Tuesday as the titleholders progressed to the final four 6-3 on aggregate following Vidal's controversial sending off.
Lost in the madness of Real Madrid's insane, controversial 4-2 win against Bayern Munich on Tuesday was another milestone for Cristiano Ronaldo.
Ronaldo scored a hat-trick to send Real Madrid through to the Champions League semi-finals.
"I only ask that [the fans] don't whistle me because I always do my best, I work and help Real Madrid".
With the game heading towards extra-time Vidal was sent off for a second booking after appearing to win the ball cleanly from Asensio, leaving Bayern with 10 like in the first leg when Javi Martinez was dismissed.
Real made their numerical advantage count as Ronaldo grabbed his second of the match in the 105th minute - taking him to 100 Champions League goals in the process - although he looked to have been offside.
Ronaldo appeared to be in front of the defenders, and just offside, for his first goal in extra time.
"We deserved more", said Bayern coach Carlo Ancelotti, who complained about the refereeing. "We're fair winners", he added.
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The first goal of the night came from the Germans when referee Viktor Kassai awarded Bayern a penalty in the 53rd minute which Lewandowski dispatched expertly after waiting for Keylor Navas to move before rolling the ball into the middle of the goal.
Ronaldo had scored both goals for Madrid in the first leg, when he became the first player to reach 100 goals in European club competition.
Bayern Munich came agonisingly close when Thiago Alcantara's shot in the ninth minute was expertly blocked by Marcelo from inside the six yard box after Franck Ribery found the Spaniard.
Ronaldo equalised in the 76th minute when a flawless lofted pass from Casemiro found him.
There were other contentious decisions on the night, including Casemiro avoiding a red card for a late foul on Bayern's Arjen Robben when already booked and an offside against Robert Lewandowski in the second half when the Polish striker was well placed.
The Portuguese star struck a hat-trick, including two goals in extra time, at the Santiago Bernabeu.
Security guards and Bayern fans got into a confrontation at the stands at halftime but the altercation ended quickly.