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The phrase "achieving a solution that" is correct and usable in written English.
You can use it when discussing the process of finding a resolution or answer to a problem or challenge.
Example: "The team focused on achieving a solution that would satisfy all stakeholders involved in the project."
Alternatives: "finding a resolution that" or "reaching an answer that".
Exact(1)
Six-country negotiations early in 2007 succeeded in achieving a solution that saw North Korea agree to dismantle its nuclear program in return for compensation.
Similar(59)
"They have not achieved a solution that is sufficient in size or scope," the S.& P. analyst Moritz Kraemer told reporters in a conference call, according to The Associated Press.
[2009] that analytically relates a model predictive control suboptimal solution to performance loss in order to quantify the number of iterations necessary for the incremental primal decomposition algorithm to achieve a solution that guarantees stability.
Further, it is interesting to note that with this choice, the convergence toward the optimum is very fast: in three hours one could achieve a solution that is less than 1% behind the optimum (though this time period was not enough to prove this approximation guarantee).
As a result, a designer often encounters considerable difficulty in achieving a structural solution that meets the target displacement and attains a desired yield mechanism.
"Achieving a political solution that ends the conflict is in the interest of the United States," Mrs. Clinton said.
A general approach to design for multichannel triangular spectral responses for FBG filters is proposed, which provides a solution that achieves a minimum change of refractive index for the fibre.
From a theoretical perspective, blockchain technology is a solution that achieves efficient and low-cost equity registration, equity transaction and transfer, and shareholder voting in the crowdfunding industry, eliminating legal risks related to fund management.
This is only the latest offer from Israel to sit down at the negotiating table with no preconditions; to talk about the issues and to finally arrive at a solution that achieves the goals of the United Nations and of both peoples: two independent states -- a Palestinian state and a Jewish state -- living side-by-side in security and economic prosperity.
However, since our goal was to come up with a generic measure at the hospital level and Medicare DRG is merely the tool we chose to validate our approach, we opted for not leaving out any groups of inpatients so as to achieve the objective of finding a solution that can represent the whole hospital.
Now, suppose we want a solution that can achieve a cost less than (|R| cdot phi).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com