A háztartási gép új.

A is the definite article, so it means the.

Hungarian has two forms of the definite article:

• a before a consonant sound
• az before a vowel sound

Since háztartási starts with h, which is a consonant sound, Hungarian uses a:

• a háztartási gép = the household appliance

Compare:

• a gép = the machine/appliance
• az autó = the car

In Hungarian, the verb to be is often left out in the present tense when the subject is third person and the predicate is a noun or adjective.

So:

• A háztartási gép új. = The household appliance is new.

There is no written is, but it is understood.

This happens very often in Hungarian:

• A ház nagy. = The house is big.
• A könyv érdekes. = The book is interesting.

But the verb does appear in other persons or tenses, for example:

• Új vagyok. = I am new.
• Új volt. = It was new.

Because here új is not directly describing the noun inside a noun phrase. It is the predicate adjective: it tells you what the subject is like.

So:

• A háztartási gép új. = The household appliance is new.

If you put új before the noun, it becomes an attributive adjective, meaning:

• az új háztartási gép = the new household appliance

So the difference is:

• A háztartási gép új. = The appliance is new.
• Az új háztartási gép = the new appliance

That is a very important distinction in Hungarian.

Háztartási is an adjective meaning household or domestic.

It comes from the noun háztartás, which means household, plus the suffix -i, which often turns a noun into an adjective.

So roughly:

• háztartás = household
• háztartási = household / domestic

Then:

• háztartási gép = household appliance

This kind of formation is very common in Hungarian.

Because háztartási is functioning as an adjective, and gép is the noun it modifies.

So this is basically:

• adjective + noun

and it is written as:

• háztartási gép

English often uses compounds like household appliance, and Hungarian sometimes uses compounds too, but in this case the normal spelling is two words.

A rough English-friendly approximation is:

aw HAAZ-tar-taa-shee gayp oo-y

A few important pronunciation points:

• á is a long vowel, roughly like aa
• é is a long vowel, roughly like ay
• ú is a long oo
• j sounds like English y
• Hungarian s sounds like English sh

So:

• háztartási has a sh sound near the end
• gép sounds roughly like gayp
• új sounds roughly like oo-y

Also, Hungarian stress is usually on the first syllable of each word.

Hungarian has no grammatical gender, so there is no masculine/feminine/neuter form to worry about.

In this sentence, új stays just új because the subject is singular:

• A háztartási gép új. = The appliance is new.

If the subject were plural, the predicate adjective would usually become plural too:

• A háztartási gépek újak. = The household appliances are new.

Notice:

• singular: új
• plural predicate: újak

A useful extra point: when an adjective comes before a noun, it does not take the plural ending:

• új gépek = new appliances
• not újak gépek

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

The most neutral version here is:

• A háztartási gép új.

But you could also say:

• Új a háztartási gép.

That puts more focus on new, something like:

• The appliance is new
• or It’s new, the appliance

So the original sentence is the most straightforward, neutral way to say it.

Yes, absolutely. It is a complete and natural sentence.

It is simple and neutral:

• A háztartási gép új.

In real conversation, speakers might sometimes add more context, for example:

• Ez a háztartási gép új. = This household appliance is new.

But the original sentence is perfectly normal Hungarian on its own.