instabil
unstable
Physically not firm or securely standing; wobbly and at risk of tipping over or collapsing.
Der Turm aus Bauklötzen ist sehr instabil.
The tower of building blocks is very unstable.

unstable
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unstable
Physically not firm or securely standing; wobbly and at risk of tipping over or collapsing.
Der Turm aus Bauklötzen ist sehr instabil.
The tower of building blocks is very unstable.

The word is formed with the prefix 'in-', which here expresses negation. 'Instabil' (unstable) therefore means 'not stable'. Recognizing this structure helps with understanding many loanwords in German.
Nach dem Sturm war die alte Scheune einsturzgefährdet und sehr instabil.
After the storm, the old barn was at risk of collapse and very unstable.
The exact meaning of 'instabil' (unstable) becomes clear from the noun it describes or from an additional adverb. This makes it easy to distinguish between an unstable bridge (physical), an emotionally unstable person (psychological), or a politically unstable situation (system).
Das Regal ist instabil, stell bitte keine schweren Bücher darauf.
The shelf is unstable; please don't put any heavy books on it.
In the physical meaning, 'instabil' (unstable) often describes structures, furniture, or objects. Typical combinations are 'eine instabile Konstruktion' (an unstable construction), 'ein instabiles Gerüst' (an unstable scaffold), or 'instabil stehen' (to stand unsteadily).
Die Leiter stand auf dem unebenen Boden sehr instabil.
The ladder stood very unsteadily on the uneven ground.
In a psychological context, 'instabil' (unstable) is often made more precise by adverbs like 'emotional' (emotionally) or 'psychisch' (psychologically/mentally). It then describes a state that is not in balance.
In ihrer Jugend war sie emotional sehr instabil und hatte starke Stimmungsschwankungen.
In her youth, she was emotionally very unstable and had severe mood swings.
With regard to systems, 'instabil' (unstable) is often used for political or economic conditions. Typical phrases are 'eine instabile Regierung' (an unstable government), 'eine instabile Wirtschaftslage' (an unstable economic situation), or 'politisch instabil' (politically unstable).
Nach dem Rücktritt des Premierministers war die politische Lage im Land sehr instabil.
After the prime minister's resignation, the political situation in the country was very unstable.
firm / fixed
'fest' and 'instabil' are opposites when it comes to safety and stability. 'fest' means that something stands securely or holds well. 'instabil' means that something is wobbly, unsafe, or easily changeable. With objects, a chair can be 'fest' or 'instabil'. With situations or systems, you are more likely to say 'instabil' when everything can change quickly. So 'fest' works well for stable objects, while 'instabil' is used for wobbly things or uncertain situations.

Die alte Leiter wirkt instabil, deshalb benutzt sie niemand.
The old ladder seems unstable, so no one uses it.
Nach der Reparatur ist der Stuhl wieder fest.
After the repair, the chair is firm again.