Stand-in skipper Darren Barr left his defensive beat and was felled by Scott Severin.
The hosts, who had Darren Barr, Suso and Mrowiec back in the starting line-up, fashioned the first chance after five minutes.
Olejnik then got down well to block Jim O'Brien's powerful effort at his near post after the winger had turned Darren Barr.
The away side continued to dominate proceedings with captain Darren Barr heading over an O'Brien corner that had been needlessly conceded by Langfield.
Hearts' defensive options will be bolstered in the summer by the arrival of Darren Barr, who has agreed a pre-contract with the Tynecastle club.
But the Bairns came roaring back before the break with a cool finish from Pedro Moutinho levelling matters and Darren Barr's header putting them in front.
Falkirk captain Darren Barr received his first call-up to the Scotland squad in midweek, but the defender presented Steven Fletcher with another chance after being dispossessed.
Falkirk manager John Hughes was forced into a defensive reshuffle for the game, with captain Darren Barr suspended and Gerard Aafjes out with a knee injury.
Hearts, meanwhile, move into fourth, justifying Jim Jefferies' decision to ring the changes after last weekend's defeat by Kilmarnock by introducing Templeton, Elliott and Ian Black in place of Calum Elliot, Suso and Darren Barr.
Daryl Murphy picked the ball up wide on the right and, with Hearts claiming for offside, Darren Barr's attempt to clear the Irishman's ball across the face of goal struck Forrest and crossed the line.
Kris Boyd almost had a clear run at goal after four minutes when he latched onto a Velicka pass but Darren Barr made an excellent challenge on the edge of his own penalty area to halt the striker's progress.
The teenager turned away from home skipper Darren Barr far too easily in the 26th minute and the Scotland defender was lucky his tug on McCarthy's jersey took place just outside the area and that the free-kick came to nothing.
Samaras appeared to have been injured in a tussle with Steven Pressley and the former Celtic defender soon followed the Greek into the dressing-room, meaning a quick return to the side for Lee Bullen, who had himself made way for the fit-again Darren Barr.
应用推荐