Wiktionary
vb. 1 (&lit bend over backwards English) 2 (context idiomatic English) To make a great effort; to take extraordinary care; to go to great lengths.
WordNet
v. try very hard to please someone; "She falls over backwards when she sees her mother-in-law" [syn: fall over backwards]
Usage examples of "bend over backwards".
But a society will usually bend over backwards-way backwards-before it'll give up the sun and the stars in the sky.
They were so eager to accept the theory of the hitchhiker that they would bend over backwards to misinterpret any clue that pointed to their own number.
Fairness would now demand that he bend over backwards to take the defendant's part against prosecuting counsel.
I think you're going to have to bend over backwards for a while, be as harmless as a dove with blunted toenails.