"requires solutions" is correct and usable in written English.
You can use it when speaking or writing about a problem or situation that needs to be addressed or solved. For example: "The rising number of homeless people in our city requires solutions to ensure the safety of all its citizens."
This public health crisis requires solutions that are supported by science and reason instead of emotion and political ideology.
Successful adaptation to climate change requires solutions that are supported by robust projections of future climate and its impacts.
The gradients are obtained using adjoint sensitivity analysis which requires solutions of a forward state problem and an additional adjoint problem.
For its part, the company said in a statement that "deterring opioid abuse requires solutions that go well beyond abuse deterrent formulations" and include educating doctors and patients alike.
Programming may be more difficult than necessary because it requires solutions to be expressed in ways that are not familiar or natural for beginners.
Smart meters are an emerging technological system, for which implementation requires solutions not only related to the engineering of the grid, but also policies and regulation from governments and agencies for its due implementation.
As such, they require solutions beyond pledges of better behavior.
They require solutions from and led by national and local governments.
The world's critical energy problems require solutions beyond those that policymakers are exploring now.
For all of its unanswered questions, this is not a mystery, for mysteries require solutions, and there is none here.
Problems sometimes require solutions that come not only from your own field but out of left field, so to speak.
