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После объяснения учителя мне стало понятно, как решать задачу.

После объяснения учителя мне стало понятно, как решать задачу.
After the teacher’s explanation, it became clear to me how to solve the problem.

Breakdown of После объяснения учителя мне стало понятно, как решать задачу.

учитель
the teacher
мне
me
как
how
после
after
стать
to become
задача
the problem
решать
to solve
объяснение
the explanation
понятно
clear
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Questions & Answers about После объяснения учителя мне стало понятно, как решать задачу.

Why does после take объяснения in the genitive case?

После is a preposition that normally requires the genitive: после чего? → после объяснения.
So объяснение (nominative) becomes объяснения (genitive singular).

Why is учителя also in the genitive: объяснения учителя?

Here учителя is a genitive “of” phrase showing who gave the explanation: the teacher’s explanation / an explanation by the teacher.
So it’s объяснение (чьё?) учителя.

What is the grammar of мне стало понятно? Why not я понял?

Мне стало понятно is an impersonal construction:

  • мне (dative) = the experiencer (to me / for me)
  • стало (past neuter of стать) = became
  • понятно = predicative word meaning clear/understandable

It emphasizes a change of state: it became clear to me.
Я понял is more direct and agent-focused: I understood / I figured it out. Both can work, but the nuance is different.

Why is мне in the dative case?

Russian often marks the person who experiences a feeling/state with the dative in impersonal sentences:
мне холодно, мне интересно, мне понятно.
So мне стало понятно literally frames “clarity” as something that happened to you.

Why is стало neuter singular?

Because there is no grammatical subject like я or это. In Russian impersonal past-tense sentences, the verb commonly appears in neuter singular:

  • стало (not masculine/feminine/plural) This matches the “subjectless” structure: it became clear.
What part of speech is понятно here?

It functions as a predicative (often taught as a “category of state” word). It’s historically related to the short-form adjective понятен/понятна/понятно, but in this usage it behaves like:

  • It is clear/understandable. So стало понятно = became clear.
Why is there a comma before как решать задачу?

Because как решать задачу is a subordinate clause (an embedded question / content clause) dependent on понятно:

  • понятно, как… = it’s clear how… Russian typically separates that clause with a comma.
Why is it как решать задачу (imperfective) and not как решить задачу (perfective)?

Both are possible, with a nuance:

  • как решать задачу (imperfective) = how to solve it as a method/process (the general procedure)
  • как решить задачу (perfective) = how to solve it to completion (getting the final result)

In “after the explanation, it became clear how to solve the problem,” the imperfective often sounds natural because you learned the approach.

Why is задачу in the accusative case?

Because решать is a transitive verb and takes a direct object in the accusative:

  • решать (что?) задачу
    Here задача becomes задачу (accusative singular).
Can the word order change, and would it affect meaning?

Yes, Russian word order is flexible and mainly affects focus/emphasis. For example:

  • Мне стало понятно после объяснения учителя, как решать задачу. (focus more on to me it became clear)
  • После объяснения учителя стало понятно, как решать задачу. (more neutral/impersonal, less emphasis on me)

The core meaning stays the same, but what feels “highlighted” can shift.