The hosts won the first leg 16-6 on Saturday, with Josh Strauss scoring the game's only try and fly-half Duncan Weir booting 11 points to ensure Gregor Townsend's men have one hand on the trophy.
The result consigned Edinburgh to a sixth GUINNESS PRO12 defeat of the season and left Solomons to rue his side's inability to retain possession and Tom Brown's missed tackle that led to Strauss' try.
Yet the South African insists there was plenty to suggest his side can produce an upset to win the 1872 Cup at BT Murrayfield on January 2.
"In derby games you have to take your opportunities and give nothing away," said Solomons.
"We made one or two costly errors, but the key for me was that we turned over too much ball to them.
"We never gave ourselves opportunities through turning over too much ball, and a lot of those problems related to what was going on at the breakdown.
"And therefore our backs never really got an opportunity, Glasgow had more ball and more field position and that made a massive difference.
"But there was not much between the sides at all. One missed tackle and one try for them, and the odd mistake, that was it.
"Ten points is not a massive margin - big enough to make it a big challenge but certainly not an impossible task."
Click here to see the best images from Glasgow Warriors' triumph over Edinburgh at Scotstoun
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