The phrase "adequate solution to the problem" is correct and usable in written English.
You can use it when discussing a resolution that sufficiently addresses an issue or challenge.
Example: "After reviewing the options, we believe that the proposed changes will provide an adequate solution to the problem at hand."
Alternatives: "satisfactory answer to the issue" or "sufficient resolution to the challenge".
Interestingly, Lord Justice Kay concluded in his court of appeal judgement (see link to transcript on right margin of this page) that DHPs, being capped and time limited, fell far short of being an adequate solution to the problem.
She contends that the invalidation of public order laws can never be an adequate solution to the problem of police discretion and that communities should not be prevented from employing an amalgam of civil, criminal, and administrative law to authorize police to perform order maintenance tasks.
Macdonald and Carroll are at pains to point out that detection alone is not an adequate solution to the problem of academic misconduct (Macdonald and Carroll 2006).
The corpuscular nature of the gene was generally considered to be an adequate solution to the problem of the blending inheritance of biological traits[ 4].
The international community of medical professionals has been addressing this issue for decades, unfortunately without achieving an adequate solution to the problem [ 3].
Project management in academic studies tends to be regarded as an adequate solution to the problems raised by innovation.
There is, however, much work to be done on both the epistemological and the axiological aspects of truthlikeness, and it may well be that new constraints will emerge from those investigations that will help facilitate a fully adequate solution to the logical problem as well.
An adequate solution to the bed assignment problem is calculated much faster by the heuristic strategies than by the exact optimization.
Traditional forms of platonism have been criticized for failing to offer an adequate solution to this problem.
In the statement, President Giorgio Napolitano said the prime minister had to show the "necessary cohesion" to tackle Italy's budget deficits and to propose "adequate solutions to the urgent problems of the country, including in meeting its European obligations".
That argument looks distinctly hollow after yesterday's defeat.After the vote, in an unusually severe statement President Giorgio Napolitano asked whether the governing majority was "able to operate with the constant cohesion needed to … [provide] adequate solutions to the most urgent problems of the country".In the medium term, let alone the long, the answer to that is almost certainly "no".
