to push / promote
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to promote / boost
To strongly promote, support, or advance someone or something. Often used in the context of careers, products, or ideas.
Die Plattenfirma versucht, die neue Sängerin mit einer großen Kampagne zu pushen.
The record company is trying to promote the new singer with a major campaign.
'Pushen' is a loanword from English ('to push') and is used in German only colloquially. It should be avoided in formal contexts.
Mein Chef pusht mich sehr, meine Ziele zu erreichen.
My boss really pushes me to achieve my goals.
You can recognize the meaning of 'pushen' from the context. If it is about a career or products, it means 'fördern' (to promote/support). In connection with online games, it means 'einem Spieler helfen' (to help a player). In the context of crime, it means 'Drogen verkaufen' (to sell drugs).
Die Firma pusht ihr neues Smartphone mit viel Werbung.
The company is promoting its new smartphone with a lot of advertising.
In the meaning 'fördern' (to promote/support), 'pushen' is often combined with people or projects. Typical phrases are 'einen Künstler pushen' (to promote an artist), 'eine Idee pushen' (to push/promote an idea), or 'die eigene Karriere pushen' (to boost one's own career).
Das Management will dieses Projekt besonders stark pushen.
Management wants to promote this project especially strongly.
to support
'unterstützen' and 'pushen' can both mean that you promote or support someone or something. 'unterstützen' is neutral and fits many situations, for example helping a person, a project, or an idea. 'pushen' sounds more colloquial and stronger. It often means that you want to actively move something forward, for example a career, a product, or an idea. In formal situations, 'unterstützen' is usually more natural. 'pushen' fits better in casual conversations, advertising, or modern work contexts.
Die Firma pusht das neue Produkt stark in den sozialen Medien.
The company is heavily promoting the new product on social media.
Mein Freund unterstützt mich im Kurs, wenn ich eine Aufgabe nicht verstehe.
My friend supports me in the course when I don't understand an assignment.