by all possible means; by hook or by crook
Idiomatic adverbial phrase meaning trying every method or approach, often with persistence. Used when someone exhausts various ways to achieve something.
He tried to persuade me by every possible means.
Thanks to promoting it in every way possible, the event was a huge success.
Similar meaning of trying various methods, but あの手この手 is a noun phrase often used with 使う, while 手を変え品を変え is an adverbial phrase.
Standard kanji spelling for this idiomatic expression.
Alternate kanji spelling using 替; less common but still encountered.
A set phrase combining 手 (method) and 品 (item/kind), literally 'changing hands, changing goods', meaning to try every possible approach. The exact origin is uncertain, but it likely developed from the idea of varying one's methods and offerings.