
trivial
Everyday, simple, or insignificant, and therefore not especially remarkable or interesting.
Seine Ausrede war so trivial, dass ihm niemand glaubte.
His excuse was so trivial that no one believed him.
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Everyday, simple, or insignificant, and therefore not especially remarkable or interesting.
Seine Ausrede war so trivial, dass ihm niemand glaubte.
His excuse was so trivial that no one believed him.

In mathematics or logic, a statement or case that is so simple and obvious that it requires no further proof.
Die triviale Lösung der Gleichung x+y=0 ist x=0 und y=0.
The trivial solution to the equation x+y=0 is x=0 and y=0.
The word 'trivial' belongs more to elevated or formal language. It is often used in written or academic contexts.
Die Lösung des Problems war am Ende überraschend trivial.
In the end, the solution to the problem was surprisingly trivial.
In its general meaning, 'trivial' is often combined with nouns such as 'Frage' (question), 'Grund' (reason), 'Problem' (problem), or 'Angelegenheit' (matter).
Er hat sich über eine triviale Angelegenheit aufgeregt.
He got upset about a trivial matter.
You can recognize the mathematical meaning from the context. When the topic is subjects such as mathematics, logic, or computer science, 'trivial' usually means 'obvious' or 'the simplest case'.
Für Mathematiker ist dies ein trivialer Beweis.
For mathematicians, this is a trivial proof.
simple
For something very simple, simpel and trivial are both possible. “Simpel” emphasizes ease of understanding or plain construction and often sounds colloquial, while “trivial” can additionally express that something is insignificant or unremarkable. Choose “trivial” when this evaluation matters.

Die Erklärung ist trivial, weil sie nur eine längst bekannte Tatsache wiederholt.
The explanation is trivial because it merely repeats a long-known fact.
Die Erklärung ist simpel und deshalb auch für neue Mitarbeiter leicht zu verstehen.
The explanation is simple and therefore easy for new employees to understand.