Problemi küçümsemekle çözümü hızlandırmıyoruz.

Questions & Answers about Problemi küçümsemekle çözümü hızlandırmıyoruz.

How exactly does küçümsemekle mean 'by underestimating'?
It combines the dictionary form of the verb küçümsemek (to underestimate) with the instrumental suffix -le (with/by). In Turkish, attaching -(y)lA or ile to an infinitive verb creates a phrase meaning 'by doing [action]'. Here, it tells us the method being used: 'by underestimating'.
Why are there two accusative words (Problemi and çözümü) in this sentence?
They are the direct objects of two different verbs! Problemi (the problem) is the specific direct object of the action inside the -mekle phrase (küçümsemek). Çözümü (the solution) is the specific direct object of the main verb (hızlandırmak). Since both are specific, known things, they both take the accusative case.
What is the -dır doing in hızlandırmıyoruz?
It is the causative suffix. The base noun hız means 'speed'. Adding -lan makes the intransitive verb hızlanmak (to speed up / accelerate on its own). Adding -dır turns it into the transitive verb hızlandırmak (to cause something to speed up). We need the causative here because we are applying the speed to something else ('the solution').
Why is the negative suffix -mı- instead of -ma- in hızlandırmıyoruz?
This happens because of a rule called vowel narrowing. The regular negative suffix for this verb is -ma. However, whenever you add the present continuous suffix -yor right after a syllable ending in -a or -e, that vowel 'narrows' to ı, i, u, or ü to make it easier to say. So, hızlandırma-yor-uz smoothly becomes hızlandırmıyoruz.

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