This is the 16229th most frequent Russian word.
рассмотрев
"Having considered"
In this sentence, "рассмотрев" introduces an action of considering or analyzing that was completed before the main action of making the decision. It is a gerund form used to express a prior action.
Рассмотрев все обстоятельства дела, судья вынес решение.
Having considered all the circumstances of the case, the judge made a decision.
Here, "рассмотрев" is used in a gerundive expression to denote that the act of considering multiple perspectives led to the finding of a solution.
Мы смогли найти решение, рассмотрев проблему с разных точек зрения.
We were able to find a solution by considering the problem from different perspectives.
The use of "рассмотрев" in this case shows the action of analysis or consideration that directly led to her reaching a conclusion. It is an instrumental gerund that explains the basis for the conclusion.