用尽浑身解术英文

spare no efforts to do sth
leave no stone unturned to do sth

all out
go to great lengths
lay oneself out
shoot one's last bolt

这几个都可以

spare no pains （to do sth.）不遗余力, 全力以赴
= spare no effort (to do sth.) [ 注意：effort一般不加s ]
go out of one's way (to do sth.)想尽办法，千方百计
leave no stone unturned (to do sth.)千方百计, 想方设法

--可以根据需要选用。