England also conceded 17 turnovers and made 14 handling errors, statistics which Borthwick said handed the visitors opportunities.
"Every side has talent and pace at this level and you will be punished," the England head coach added.
"The opportunities and points we gave them was because they had too much space as we handed the ball over to them.
"We are all gutted, as will be the England supporters. I am incredibly disappointed as are all the players.
"We will be learning from all of this, but the pain of this is something we didn't want to go through.
"The first 20 minutes is how we wanted to play and at times later in the second half."
Borthwick confirmed flanker Tom Curry, who suffered a first-half head knock, will miss next Saturday's visit of world champions South Africa.