Learn Dutch: Ik zoek een rustige plek. - I am looking for a quiet spot.

In English, you say "looking for", but the Dutch verb zoeken already means "to look for" or "to seek". You don't need to add an extra preposition like voor.

Why is it rustige instead of just rustig?

When an adjective comes directly before a noun, it usually gets an -e added to the end. The only time you don't add the -e after een is when the following noun is a het word. Because plek is a de word (de plek), the adjective takes the ending and becomes rustige.

How do we know Ik zoek means "I am looking" instead of "I look"?

Dutch uses the simple present tense for both! Ik zoek translates to both "I look" and "I am looking". You don't need a special "-ing" verb form; you just rely on the context to know which one sounds best in English.