"mutually acceptable solutions" is correct and usable in written English.
You can use it to refer to solutions that are agreeable to both or all parties involved in a situation. For example, "The two sides had difficulty coming to a resolution, but eventually managed to agree on mutually acceptable solutions."
"Through respect, through dialogue, through negotiations, we can in fact reach mutually acceptable solutions, implement mutually acceptable solutions, prove that the naysayers were always wrong, and therefore move towards a world in which diplomacy – not force, not pressure – will prevail".
The Kremlin, in its statement today, said only that the two leaders had agreed to "find mutually acceptable solutions to problematic questions".
But we have proven that we are capable of understanding each other's positions, and are ready to find mutually acceptable solutions.
"We hope the E.U. will further show their sincerity and show flexibility, through consultations to find mutually acceptable solutions," the statement said.
The Chinese strongly criticised the EU decision on solar panels, voicing "resolute opposition", adding that "We hope the EU will further show their sincerity and show flexibility, through consultations to find mutually acceptable solutions".
Sometimes it is not easy to find mutually acceptable solutions, but honoring our international commitments and following the rule of law is the only way to keep our world stable and secure.
"We are still committed to reaching a mutually acceptable solution".
The new owners of ReplayTV seem eager to find a mutually acceptable solution.
Is there hope for a mutually acceptable solution to the nuclear issue?
We need to drag all the interested parties around a table and hammer out a mutually acceptable solution.
"The European Union will undertake these consultations in a spirit of dialogue in order to arrive at a mutually acceptable solution".
