
speisen
to dine
In elevated language, used for eating a meal, often in a formal or festive setting.
Wir werden heute Abend im Sternerestaurant speisen.
We will dine at the Michelin-starred restaurant this evening.
to dine / supply
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to dine
In elevated language, used for eating a meal, often in a formal or festive setting.
Wir werden heute Abend im Sternerestaurant speisen.
We will dine at the Michelin-starred restaurant this evening.

to feed / supply
In technology, to supply a system or device with energy, data, or material.
Die Solaranlage speist den überschüssigen Strom in das öffentliche Netz ein.
The solar system feeds the excess electricity into the public grid.

to stem from
Figuratively, for 'to come from something' or 'to be nourished by something.' It expresses that something has its source or basis in something else.
Sein Misstrauen speist sich aus schlechten Erfahrungen in der Vergangenheit.
His distrust stems from bad experiences in the past.
The verb 'speisen' (to dine/feed) is closely related to the noun 'die Speise' (the food, the dish). This connection helps you understand the basic meaning of eating.
Als Vorspeise gab es einen Salat.
There was a salad as the appetizer.
You can recognize the meaning from the context: If it is about people and food, 'speisen' (to eat/dine) is meant. In technology and energy contexts, 'speisen' (to supply/feed) is meant. The reflexive form 'sich speisen aus' (to stem from) is used for abstract sources.
Die Gäste speisten im großen Saal des Schlosses.
The guests dined in the large hall of the castle.
In the meaning 'eine Mahlzeit einnehmen' (to have a meal), 'speisen' (to dine) is used mainly in elevated or formal language. It sounds more elegant and festive.
Die königliche Familie speist jeden Abend um Punkt acht Uhr.
The royal family dines every evening at exactly eight o'clock.
When it is about supplying energy or data, 'speisen' (to feed/supply) is a technical term. The subject is often a device or a system.
Das Kraftwerk speist Strom ins Netz.
The power plant feeds electricity into the grid.
This meaning is always used in the reflexive construction 'sich speisen aus' (to stem from) + dative. It describes the source or origin of something abstract, such as feelings or ideas.
Sein Hass speist sich aus einem tiefen Gefühl der Ungerechtigkeit.
His hatred stems from a deep feeling of injustice.
to eat
Essen and speisen both refer to eating a meal. Essen is the neutral everyday word, while speisen sounds elevated or formal and often suits a festive setting. For an ordinary meal, use essen; at a formal invitation, speisen can express the appropriate nuance.

Die Gäste speisen heute gemeinsam bei einem feierlichen Abendessen.
The guests are dining together at a formal dinner today.
Wir essen heute gemeinsam im Restaurant.
We are eating together at the restaurant today.