Við verðum bæði sátt þegar við finnum góða lausn.

Verðum is the 1st person plural present form of verða.

• við verðum = we become / we will be
• In a sentence like this, with an adjective after it, it often has the sense come to be or simply will be.

So Við verðum bæði sátt means something like:

• We will both be satisfied
• or more literally, We will both become satisfied

The use of verða gives a slight idea of a change into that state.

Because Icelandic very often uses the present tense for future meaning when the context makes the time clear.

Here, the future meaning comes from the whole situation:

• Við verðum bæði sátt = we’ll both be satisfied
• þegar við finnum góða lausn = when we find a good solution

This is especially common after time words like þegar (when).

So even though the verb forms are present tense, the sentence naturally refers to the future.

Yes. Bæði means both, so it implies two people.

Since the subject is við (we), the sentence means that the two people included in we will both be satisfied.

If you wanted to talk about more than two people, you would normally use something like all instead, not both.

Yes, it is the same word.

You may already know:

• bæði X og Y = both X and Y

But bæði can also stand on its own, as it does here, meaning simply both:

• Við verðum bæði sátt = We will both be satisfied

So this is a normal standalone use of bæði.

This is because of normal Icelandic main-clause word order.

Icelandic usually puts the finite verb early in the clause, typically in second position. So the structure here is:

• Við = subject
• verðum = finite verb
• bæði = both
• sátt = adjective

So:

• Við verðum bæði sátt

This is a very natural Icelandic order.

Sátt comes from the adjective sáttur.

A useful thing to know is that sátt is not only a singular-looking form; it can also be the neuter plural form. In Icelandic, the neuter plural is often used as a default or neutral agreement form, especially when the group is mixed or not specified by gender.

So in this sentence:

• sátt can function as a neutral/default plural form with við

You may also see:

• sáttir for a specifically masculine plural group
• sáttar for a specifically feminine plural group

Also, vera/verða sátt is a very common expression, so learners will often encounter sátt in this kind of sentence.

Þegar means when and introduces a time clause:

• þegar við finnum góða lausn = when we find a good solution

It suggests that the speaker expects this to happen.

If you used ef, that would mean if, which would make the sentence more conditional or uncertain:

• ef við finnum góða lausn = if we find a good solution

So þegar is used because the sentence is talking about the time at which both people will be satisfied.

Because lausn is the direct object of finna (to find), and finna takes the accusative case.

• dictionary form: lausn = solution
• accusative singular: lausn

The adjective has to agree with the noun:

• góð lausn = a good solution (nominative)
• góða lausn = a good solution (accusative)

So:

• við finnum góða lausn = we find a good solution

The form góða shows agreement with feminine singular accusative lausn.