It begins with one of the first words any learner meets: bayit, house, home. The surprise is that Hebrew turns the house into a verb. To tame an animal is levayet, literally "to house it", to bring the wild thing indoors. And a missile that locks onto a target is mitbayet, "homing in", finding its house. Watch a plain noun become the verb for belonging, settling, and even guidance. Every word here is verified against pealim, niqqud included.
The same root runs through the verb system. Each binyan is a voice: it bends the one idea into active, passive, causative or reciprocal. Tap to hear.
Both verbs are denominal, they are built straight from the noun bayit. Pi'el is the active "to house / tame (something)", and its hitpa'el partner turns the action back on the subject: to settle into a home of its own, or to seek out its target. There is no plain pa'al here; you cannot "house" in the simple stem.
Same root letters, different noun moulds (mishkalim). The mould tells you the function: who does it, the act of doing it, or the thing produced.
Strip the prefixes, suffixes and vowels. Three consonants remain, and the meaning lives there.