The governments have made a trap for themselves by bailing out the banks, the banks have them over a barrel and they have no way out now. If they stop QE and bank bailouts then the banks pull the rug out from under the economy and it collapses. If they don't stop QE and bailouts then the population become so impoverished, desperate and angry that the result will eventually be a huge angry mob turning up at Parliament to lynch the lot of them.
What the governments should have done was to seize all the assets of the failing banks, jail those responsible and then compensate the people who had money in the banks. That of course would have been quite a blow to the economy but at least the total cost would have been finite, and possible to pay off and recover from eventually. Instead because the government and the banks are the same thing they chose the route of bailing out the banks, now they're desperately scrabbling for money to fill this bottomless money pit, a task that is impossible. The way that they've responded to this situation means that whatever they do the economy is now doomed.