Solomons bemoaned his side's failure to take their chances as they fell to defeat at Franklin's Gardens.
A penalty try allied with efforts from Alex Mitchell, Dan Biggar and Mike Haywood earned Saints a bonus-point success, their first league victory at the Gardens in 2020.
It moved Chris Boyd's men off the bottom of the table, with the Gallagher Premiership now propped up by Worcester.
And Solomons said: “They closed out their opportunities and we didn't close out ours.
"The game ended with us having two opportunities to score and we knocked the ball on over the try-line.
"That was the big difference - we didn't close out our opportunities.
"The scoreline, to me, is not a reflection of that game at all, but they are fine margins in these games and when you get an opportunity, you need to nail it.
"I'm pretty confident we'll be able to do it in future.
"If we weren't creating opportunities I'd be a bit concerned but we are.
"We are practicing well and it will come - we've just got to stick at it."