solide
solid
Stable, firm, and well made; of durable, robust quality.
Das Haus ist auf einem soliden Fundament gebaut und hat schon viele Stürme überstanden.
The house is built on a solid foundation and has already withstood many storms.

solid
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solid
Stable, firm, and well made; of durable, robust quality.
Das Haus ist auf einem soliden Fundament gebaut und hat schon viele Stürme überstanden.
The house is built on a solid foundation and has already withstood many storms.

'Solide' (solid) always has a positive connotation. It describes something that is reliable, well made, and of lasting quality, whether it refers to a thing, a skill, or a person.
Das Unternehmen hat im letzten Jahr solide Gewinne erzielt.
The company generated solid profits last year.
In its basic meaning, 'solide' (solid) describes physical objects that are stable and well built. Typical nouns are 'Fundament' (foundation), 'Bauweise' (construction method), 'Möbel' (furniture), or 'Material' (material).
Der Tisch ist aus solidem Eichenholz gefertigt.
The table is made of solid oak.
When applied to knowledge or skills, 'solide' (solid) means that something is thorough and reliable. Common combinations are 'solide Kenntnisse' (solid knowledge), 'eine solide Ausbildung' (a solid education/training), or 'eine solide Grundlage' (a solid foundation).
Sie verfügt über solide Grundkenntnisse der deutschen Grammatik.
She has solid basic knowledge of German grammar.
When a person or their work is described as 'solide' (solid), it means they are reliable, honest, and of good quality. For example, people speak of 'einem soliden Handwerker' (a solid craftsman) or 'einer soliden Leistung' (a solid performance).
Er ist ein solider Mitarbeiter, auf den man sich immer verlassen kann.
He is a solid employee whom you can always rely on.
firm / fixed
'fest' and 'solide' can both mean that something is stable and does not break easily. 'fest' usually describes directly that something holds well, does not wobble, or is not easy to loosen. 'solide' sounds more like good quality and good workmanship. A table can stand 'fest' because it does not wobble. It can be 'solide' if it is well built and durable. The words can be confused because they often both fit with objects. 'fest' fits more with how securely something sits or holds; 'solide' fits more with quality.

Der Tisch ist nicht teuer, aber er wirkt solide.
The table is not expensive, but it seems solid.
Wir haben das Regal fest an der Wand befestigt.
We attached the shelf firmly to the wall.