The Bulls are still waiting to hear if the administrator has found a suitable buyer for the club but the players continued to make light of the uncertainty over their futures with another battling victory.
Langley touched down in each half and winger Jason Crookes, whose hat-trick helped Bradford to a 36-24 win at Hull KR in March, marked his comeback from a four-month lay-off with a dislocated shoulder with a crucial second-half score.
The Bulls were far from their best against an under-strength Rovers team but did just enough to gain the points that enabled them to draw level with their eighth-placed opponents. Michael Dobson gave the visitors a the lead with a fifth-minute penalty.
Bradford got the first try on 16 minutes when Langley ran onto Ben Jeffries' short pass to cross untouched. But Langley then coughed up possession from the re-start and that gave Hull KR the position for replacement prop Scott Taylor to take Lincoln Withers' pass from dummy half and crash over for his side's first try.
The Bulls regained the lead when right winger Shaun Ainscough gathered Luke Gale's pinpoint kick to score a second try but the errors continued and Rovers punished Bradford's indiscipline to score again nine minutes before half-time.
Skipper Ben Galea combined with Dobson to create an overlap for winger David Hodgson to score his 15th try of the season and Dobson's third goal, which grazed an upright, restored the visitors' advantage.
Stalemate set in early in the second half but the game came alive when the Bulls found some rare cohesion to score two tries in a five-minute spell. Centre Keith Lulia created an opening for Crookes, who finished strongly at the corner, and Langley produced a turn of pace to go through a gap and bump off full-back Louis Sheriff to score his second try.
Gale added both goals to put his side 10 points clear but Rovers struck back on 63 minutes when Salter crossed wide out for his side's third try and Dobson kicked his fourth goal.
Bradford finally made the game safe when Gale broke clean through the first line of defence and second rower Elliott Whitehead was in support to score their fifth try. Gale kicked his fifth conversion and added a penalty before winger Craig Hall grabbed a last-minute consolation try for the visitors, with Dobson kicking his fifth goal.