solvable / soluble
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solvable
Refers to a problem, task, or conflict for which a solution can be found.
Obwohl die Matheaufgabe komplex ist, ist sie mit der richtigen Formel lösbar.
Although the math problem is complex, it is solvable with the right formula.
soluble
Describes a substance that can dissolve in a liquid.
Salz ist in Wasser gut lösbar, in Öl hingegen nicht.
Salt is highly soluble in water, but not in oil.
detachable
Refers to a mechanical connection that can be separated or loosened.
Die Schrauben sind durch eine spezielle Beschichtung auch nach Jahren noch lösbar.
Thanks to a special coating, the screws are still detachable even after years.
The adjective 'lösbar' is derived from the verb 'lösen' (to solve, loosen, dissolve). The ending '-bar' means that something can be done. So 'lösbar' literally means 'can be solved/loosened/dissolved,' which can apply to problems, substances, or connections.
Diese Aufgabe ist lösbar, auch wenn sie auf den ersten Blick kompliziert wirkt.
This task is solvable, even if it seems complicated at first glance.
In combination with abstract nouns like 'Problem' (problem), 'Aufgabe' (task), 'Konflikt' (conflict), or 'Rätsel' (riddle/puzzle), 'lösbar' means that a solution can be found.
Die beiden Parteien sind zuversichtlich, dass der Konflikt lösbar ist.
The two parties are confident that the conflict is solvable.
When it is about substances that dissolve in liquids, 'lösbar' is used in a chemical or everyday context. It is often combined with a preposition like 'in' (in).
Dieses Pulver ist nur in heißem Wasser gut lösbar.
This powder is only highly soluble in hot water.
In connection with mechanical things like 'Schrauben' (screws), 'Knoten' (knots), or 'Verbindungen' (connections), 'lösbar' means that something can be separated or opened.
Der Knoten war so fest zugezogen, dass er nicht mehr lösbar schien.
The knot had been pulled so tight that it no longer seemed detachable.
