"solution out of" is correct and usable in written English.
It is usually used to refer to a solution to a difficult problem or situation. For example, "We needed to find a solution out of this difficult situation."
Bonds suggested they find an amicable solution out of court.
Pope Francis has now brought the pastoral solution out of the Catholic shadows.
Leaving the train solution out of the national transportation discussion deprives us of a very comfortable solution.
This means that Conway and Moran have to talk the solution out of the suspect and any connections they can muster.
"We cannot produce a solution out of a hat to this problem," said Mr. Brahimi, who resigned in 1999 as special representative for Afghanistan out of frustration.
But there is also a question about how you transfer it: the second you take a designed solution out of the context where it's been generated by participation and transfer it somewhere else, there's a danger it becomes simply a new bureaucratic intervention".
Firstly, planar truss arches with continuous lateral bracings are studied, and a closed form solution of out-of-plane elastic buckling load is obtained theoretically.
For both electrolyte solutions, (220) out-of-plane texture was formed in the saccharin-free films.
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The government expects the US forces in GTMO to pull magic solutions out of their sleeves.
There is an understandable tendency to pull quick and easy solutions out of the policy bag and wave them in anger to comfort and appease.
