Proto-Indo-European Roots

Root/Stem: *dhé-
Meaning:  to put, to do
Cognates: Greek tithémi (I put) - reduplication of the root the-
Latin facere (to do), facio (I do), Oscan factud (let them do), Umbrian fakust (he does) - *dh > f everywhere in Italic; 
French faire (to do), Romanian face, Portuguese fazer, Spanish hacer
Old High German tuon (to do), Old Saxon & Old English dón (to do), Old Frisian dua, Old Swedish duon, Gothic gadeths (a doing), Old Norse dalidun (they did); 
German tun (to do)
Avestan dadáiti (he puts); 
Sanskrit dadháti (he puts);
Thracian didzos- (to set, to create)
Phrygian dak- (to do) - related directly to Latin facere (to do)
Common Anatolian *dhe-w- (to put, to set), > 
Hittite te- (to set), Luwian tuwa (to put), Lydian duve (to construct), Lycian tti (to set, to put)
Common Baltic *dé- (to put); > 
Lithuanian de.ti (to put)
Common Slavic *déti (to put), *de.lati (to do); > 
Ukrainian diti (to put), Bulgarian dyana (I put), Serbo-Croatian djeti (to put), Slovene deti, Czech díti, Slovak diat', Polish dziac', Upper Sorbian dz'es' (to weave), Lower Sorbian z'as', Russian det' (to hide), delat' (to do)
Notes: This stem is known not only as a single verb, but the element of the Proto-Indo-European combination *kerd-dhé- (heart to put) which acquired the meaning 'to believe' in many branches: Latin credo (I believe), Old Irish cretim, Irish creidim, Welsh credu, Sanskrit crad-dadhami, etc. Though in Celtic languages there is no pure root left of this verb, the combination was preserved.