die Lockerung
easing
The act of making a rule, law, or restriction less strict or partially lifting it.
Die Regierung hat eine Lockerung der Kontaktbeschränkungen angekündigt.
The government has announced an easing of the contact restrictions.

loosening / easing
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easing
The act of making a rule, law, or restriction less strict or partially lifting it.
Die Regierung hat eine Lockerung der Kontaktbeschränkungen angekündigt.
The government has announced an easing of the contact restrictions.

The noun 'die Lockerung' is derived from the verb 'lockern' (to loosen). The ending '-ung' turns the verb into a feminine noun that describes the action or result of loosening.
Die Lockerung der Schraube führte zu einem technischen Problem.
The loosening of the screw led to a technical problem.
The context makes the meaning clear. If it is about rules, laws, or politics, it refers to the lifting or easing of restrictions. If it is about the body, sports, or gardening, it refers to physical relaxation or loosening.
Viele Bürger hoffen auf eine Lockerung der strengen Vorschriften.
Many citizens are hoping for an easing of the strict regulations.
In a political or social context, 'Lockerung' often appears with a genitive or in a compound. Typical examples are: 'die Lockerung der Maßnahmen' (the easing of the measures), 'die Lockerung der Regeln' (the easing of the rules), or 'Reise-Lockerungen' (travel easings / eased travel restrictions).
Die Wirtschaft fordert eine schnelle Lockerung der Beschränkungen.
The economy is calling for a quick easing of the restrictions.
In a physical context, typical combinations are 'die Lockerung der Muskulatur' (loosening of the muscles), 'die Lockerung des Bodens' (loosening of the soil), or 'die Lockerung der Gelenke' (loosening of the joints).
Leichte Dehnübungen helfen bei der Lockerung der Muskeln.
Light stretching exercises help loosen the muscles.
solution
'die Lösung' and 'die Lockerung' can both have to do with ending or reducing a problem, a fixed situation, or a strict rule. 'Lösung' is more general: it can be a way out of a problem or a formal termination. 'Lockerung' means more specifically that something becomes less strict, less tight, or less tense. This can be a rule, but also a muscle or soil. Learners may confuse the words because both sometimes describe an improvement. If you mean a way of dealing with a problem, you say 'Lösung'. If something is only becoming less strict or less tight, 'Lockerung' fits better.

Nach der Massage spürt Lena eine deutliche Lockerung im Rücken.
After the massage, Lena feels a noticeable loosening in her back.
Im Büro suchen wir nach einer Lösung für die vielen Überstunden.
At the office, we are looking for a solution to all the overtime.