"We will be looking for the solution."
Translation:Będziemy szukały rozwiązania.
There are three ways of saying this
Będziemy szukały rozwiązania. group of women speaking
Będziemy szukali rozwiązania. Group that has at least one man . (I would say more common to be said when the group is a group of men, or a male representative is saying this in making a statement about a bigger group of people).
Będziemy szukać rozwiązania. Any group of people. Used for mixed groups, but also for all male and all female when it is easier to say / personal preference (infinitive is one syllabe shorter)