A szomszéd lehalkítja a zenét, és megszünteti a problémát.

A is the Hungarian definite article, equivalent to English the.

So:

• A szomszéd = the neighbor

Hungarian has two forms of the definite article:

• a before most consonants
• az before vowels

For example:

• a ház = the house
• az autó = the car

Because szomszéd is the subject of the sentence, and Hungarian usually leaves the subject in its basic dictionary form when it is singular.

Here:

• A szomszéd = the neighbor
• It is doing the action: turning down the music and eliminating the problem.

This basic subject form is often called the nominative.

Lehalkítja is built from several parts:

• le- = a verbal prefix, often suggesting down or lower
• halk = quiet
• -ít = a verb-forming ending that often means make/become
• -ja = a verb ending

So lehalkítja literally has the sense of turns it quieter/down.

That is why Hungarian does not need a separate word for down here. English says turn down, but Hungarian puts that idea into the verb itself with le-.

Because Hungarian verbs can have different endings depending on whether they have a definite object.

In this sentence, the object is:

• a zenét = the music

Since the object is definite, Hungarian uses the definite conjugation:

• lehalkítja = he/she turns it down

Compare the idea:

• lehalkít egy zenét would sound different and is not what we have here
• lehalkítja a zenét clearly means turns down the music

This is a very important feature of Hungarian grammar.

Because zenét is the accusative form, used for the direct object.

• zene = music
• zenét = music as the thing being affected by the verb

In Hungarian, the direct object usually gets -t:

• könyv → könyvet
• autó → autót
• zene → zenét

With zene, the final vowel changes as part of the normal pattern, so it becomes zenét, not just zenet.

És means and.

It simply connects the two actions:

• lehalkítja a zenét
• megszünteti a problémát

So the sentence says that the neighbor does one action and another.

Megszünteti means something like:

• eliminates
• puts an end to
• stops
• removes

It comes from:

• szüntet = stop / terminate / discontinue
• meg- = a verbal prefix that often gives a sense of completion or bringing something to a result

So megszünteti a problémát means he/she eliminates the problem or puts an end to the problem.

In many Hungarian verbs, prefixes like meg-, le-, ki-, be- add an important meaning that English often expresses with a separate word or with a different verb.

Because problémát is also in the accusative, since it is the direct object of megszünteti.

• probléma = problem
• problémát = problem as the thing being eliminated

Again, Hungarian usually adds -t to mark the direct object.

With nouns ending in -a or -e, that final vowel often lengthens before certain endings:

• probléma → problémát
• mese → mesét

Because szomszéd here is singular: the neighbor.

Both verbs agree with that singular subject:

• lehalkítja
• megszünteti

If the subject were plural, the verb forms would change. For example, the neighbors would require plural verb endings.

So this sentence clearly has one neighbor doing both actions.

Yes. Both verbs are in the present tense:

• lehalkítja
• megszünteti

So the sentence most naturally means:

• The neighbor turns down the music and eliminates the problem.

Depending on context, Hungarian present tense can sometimes refer to the near future too, but without more context, this is simply present tense.

Yes. Hungarian word order is flexible, and changing it often changes emphasis rather than the basic meaning.

This version is fairly neutral:

• A szomszéd lehalkítja a zenét, és megszünteti a problémát.

But Hungarian could move elements around to emphasize one part:

• A zenét lehalkítja a szomszéd...
• A problémát megszünteti a szomszéd...

Those would sound more marked and would highlight different parts of the sentence.

So the given order is a normal, straightforward way to say it.

A few important pronunciation points:

• sz is pronounced like English s in see
• z is pronounced like English z
• é is a long vowel, roughly like ay in say, but pure and without a glide

So approximately:

• szomszéd ≈ som-sayd
• zenét ≈ zeh-nayt

Also remember:

• Hungarian stress is normally on the first syllable of the word

So:

• SZOM-széd
• ZE-nét

Because Hungarian often leaves object pronouns unstated when the verb form already makes things clear.

In English, you might think of:

• turns it down
• eliminates it

But in Hungarian, the verb ending already signals that there is a definite object, and the noun itself is present anyway:

• lehalkítja a zenét
• megszünteti a problémát

So there is no need to add a separate word for it here.

Yes. A direct word-for-word translation from English often sounds unnatural in Hungarian.

English uses the phrasal verb:

• turn down the music

Hungarian uses a single prefixed verb:

• lehalkítja a zenét

This is very common in Hungarian. Instead of copying English structure, it is better to learn the Hungarian verb as a unit:

• lehalkít = turn down / make quieter

That will sound much more natural.