The 20-8 result overturned the ten-point deficit from last weekend's game and saw Edinburgh claim the 1872 Cup for the first time and and move up to seventh in the GUINNESS PRO12 in the process.
And while Solomons was thrilled with the collective effort of his players, he singled out double try-scorer Tim Visser, who was sidelined by a serious leg injury for most of last season.
"I think Tim is starting to get there. This will do a lot for his confidence. Scoring two tries in a big derby game will do a massive amount for him," he said.
"But it was an incredible team performance. Glasgow are close to the top of the league and we had to win by more than 10 points to win the trophy - and we did it.
"At the start of the season we spoke about the importance of our team ethic and I think we have seen it in the last seven weeks. To achieve what we have done is incredible.
"We have a tough job ahead of us. Our aim is to try to make the top six and we have a massive game against Connacht next weekend. But to get this win was really important.
"The significance of this game should not be lost. Glasgow have set the pace and I think that over the last few months we have started to close the gap."
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