The phrase 'quest for solution' is correct and usable in written English.
You can use it to refer to the situation where someone is trying to find a solution to a problem or issue. For example, "Our team is on a quest for a solution to the climate change crisis."
The quest for solutions became increasingly urgent when Shane Long, fresh off the bench, outjumped Coloccini – worryingly vulnerable these days – to another long ball and nodded down to Elia.
In the quest for solutions to the bacterial adhesion problem, attention for shear and friction forces is present, as based on the previously mentioned examples and studies developing anti-fouling super-slippery surfaces (Wong et al. 2011; Epstein et al. 2012; Li et al. 2013; MacCallum et al. 2015), however, the fundamental role it plays in adhesion is not known.
The original motivation for group theory was the quest for solutions of polynomial equations of degree higher than 4. The 19th-century French mathematician Évariste Galois, extending prior work of Paolo Ruffini and Joseph-Louis Lagrange, gave a criterion for the solvability of a particular polynomial equation in terms of the symmetry group of its roots (solutions).
Also, with more prolonged treatment there may be a greater likelihood that the patient and possibly the physician will be more tolerant of the status quo and less demanding in their quest for solutions.
In the quest for solutions to the fundamental problem of generating coherent phenotypes, it could thus be argued that calcium was well-placed right from the start to play a unifying role by interacting directly or indirectly with PolyP, PHB, polyamines and phospholipids.
The Commission for Social determinants of Health quests for solutions that reduce the gap in health induced by social inequity [ 3].
For him, becoming vegan was the answer, but in his quest for a solution he found that dietary information is overwhelming and often contradictory or misleading.
In his quest for its solution he made an intensive study of Greek philosophy, especially Plato and Aristotle.
The journals published at these universities, frequently edited by members of the teaching staff, are open forums that discuss the problems of occupation, aspects of the conflict and the quest for a solution, both at the micro and the macro levels.
What IBM's programmers will have done is to press the quest for that solution (which is merely a matter of logic and number crunching) beyond the point where human thought processes can keep up with it.What they have not done is to reproduce human thought, which is the usual declared goal of artificial intelligence.
