A nyugalom fontos a lakóknak.

In Hungarian, the verb to be is usually left out in the present tense when talking about simple statements in the third person.

So:

• A nyugalom fontos. = Calm/peace is important.
• literally, there is no separate word for is

But in other persons, Hungarian does use the verb:

• Fontos vagyok. = I am important.
• Fontos vagy. = You are important.

So in your sentence, the meaning of is is understood automatically.

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

In this sentence:

• A nyugalom = the calm / the peace / calmness
• a lakóknak = for the residents

Hungarian often uses the definite article in places where English may or may not use the. So seeing a twice is completely normal.

Also, Hungarian has two forms of the:

• a before consonant sounds
• az before vowel sounds

For example:

• a ház = the house
• az ablak = the window

Lakóknak comes from lakó, which means resident, inhabitant, or occupant.

It breaks down like this:

• lakó = resident
• lakók = residents
• lakóknak = to/for the residents

The ending -nak / -nek is the dative case ending. It often means:

• to someone
• for someone

So here:

• fontos a lakóknak = important to/for the residents

The form is -nak here because of vowel harmony.

Because the sentence is not just saying the residents as a subject. It is saying that something is important to the residents.

Compare:

• A lakók fontosak. = The residents are important.
• A nyugalom fontos a lakóknak. = Calm is important to the residents.

So:

• lakók = the residents
• lakóknak = to/for the residents

That -nak ending is necessary to show the relationship.

Yes, nyugalom is a noun.

It can mean things like:

• calm
• peace
• quiet
• tranquility

The exact English translation depends on context. In this sentence, it suggests that peace and quiet or calmness is important to the residents.

So A nyugalom fontos a lakóknak could naturally mean:

• Peace and quiet are important to the residents
• Calm is important to the residents
• Tranquility is important for the residents

Fontos means important, and in this sentence it acts like the main predicate adjective.

Hungarian word order is more flexible than English word order. A neutral version of the sentence is:

• A nyugalom fontos a lakóknak.

This is a natural way to say:

• Calm is important to the residents.

The structure is roughly:

• A nyugalom = topic / what we are talking about
• fontos = important
• a lakóknak = to the residents

Other word orders are possible, but they can shift emphasis.

For example:

• A lakóknak fontos a nyugalom.
  = Peace and quiet are important to the residents
  This version puts more focus on the residents as the people concerned.

Yes, that sentence is also correct.

Both mean essentially the same thing:

• A nyugalom fontos a lakóknak.
• A lakóknak fontos a nyugalom.

The difference is mainly focus and information structure, not basic meaning.

A rough way to feel the difference:

• A nyugalom fontos a lakóknak.
  = We are talking about calm/peace, and saying it matters to the residents.
• A lakóknak fontos a nyugalom.
  = We are talking about the residents, and saying that calm matters to them.

Hungarian often changes word order to highlight different parts of the message.

This is due to vowel harmony, which is a major feature of Hungarian.

Hungarian suffixes often have different forms depending on the vowels in the word.

For the dative ending:

• -nak
• -nek

The word lakó contains back vowels (a, ó), so it takes -nak:

• lakó → lakónak
• plural: lakók → lakóknak

A word with front vowels would usually take -nek, for example:

• ember → embernek = to the person
• nő → nőnek = to the woman

The singular form is:

• lakónak = to/for the resident

Here is the full pattern:

• lakó = resident
• lakók = residents
• lakónak = to/for the resident
• lakóknak = to/for the residents

So -k marks the plural, and -nak is the dative ending.

Either can work, depending on context.

The dative in Hungarian often covers meanings that English expresses with:

• to
• for

So:

• fontos a lakóknak can mean important to the residents
• or important for the residents

In most cases, important to the residents is the most direct and natural translation, because it expresses their point of view: they consider it important.

A simple English-friendly approximation is:

• NYOO-gah-lom

A bit more carefully:

• ny is like the ny sound in canyon
• u is short, like oo in book, but cleaner
• stress is on the first syllable: NYU
• a is like o in not for many English speakers, depending on accent
• o is a short o

So the word is stressed like this:

• NYU-ga-lom

Hungarian always stresses the first syllable of the word.

A rough pronunciation is:

• LAH-kohk-nahk

Notes:

• stress is on the first syllable: LA
• á is a long vowel, somewhat like a in father
• ó is a long o
• the kn cluster is pronounced clearly: k-n

So you can think of it as:

• LAA-kó-k-nak

with the first syllable stressed, as usual in Hungarian.

In this sentence, A nyugalom fontos a lakóknak is the natural form.

Leaving out the article would usually sound unnatural here. Hungarian often uses the definite article with abstract nouns when speaking generally in this kind of sentence.

So:

• A nyugalom fontos a lakóknak. = natural
• Nyugalom fontos a lakóknak. = generally not the normal choice here

Also, Nyugalom! by itself is a common expression meaning:

• Calm down!
• Relax!
• Keep calm!

But that is a different kind of usage.

The sentence can be understood like this:

• A nyugalom = the calm / peace and quiet
• fontos = important
• a lakóknak = to the residents

So the full structure is:

• [topic/subject-like noun phrase] + [predicate adjective] + [dative phrase]

A very literal gloss would be:

• The calm important the residents-to

A natural English translation is:

• Calm is important to the residents.
• Peace and quiet are important to the residents.