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.
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.
feasible
'machbar' and 'lösbar' both say that something is not impossible. 'machbar' generally fits plans, tasks, or projects that can be carried out. 'lösbar' fits more specifically with a problem, task, or conflict for which a solution can be found. Learners may confuse the words because both sound positive. As a simple guide: a plan is 'machbar', a problem is 'lösbar'.
Diese Aufgabe ist lösbar, aber du musst genau lesen.
This exercise is solvable, but you have to read carefully.
Der Ausflug ist machbar, wenn wir früh genug losfahren.
The outing is feasible if we leave early enough.