उत्सीदेयुरिमे लोका न कुर्यां कर्म चेदहम् | सङ्करस्य च कर्ता स्यामुपहन्यामिमाः प्रजाः ||३-२४||
utsīdeyurime lokā na kuryāṃ karma cedaham . saṅkarasya ca kartā syāmupahanyāmimāḥ prajāḥ ||3-24||
Chapter 3 · Verse 24
Karma Yoga
कर्मयोग
In plain words
You need to understand that neglecting your duties can cause social and spiritual chaos. Without divine karma, or active governance, the world would fall apart. You must perform your own dharma, which means your personal duty, to maintain harmony and protect society from descending into confusion and ruin.
Translation
3.24 If I do not do work, these men would be lost; and I will be causing chaos in life and thery ruining all these people.
Meaning
If I did not engage in action people would also be inactive. They would not do their duties according to the Varnasrama Dharma (code of morals governing their own order and stage of life). Hence confusion of castes would arise. I would have to destroy these beings.
Word by word
उत्सीदेयुः would perish इमे these लोकाः worlds न not कुर्याम् would do कर्म action चेत् if अहम् I सङ्करस्य of confusion of castes च and कर्ता author स्याम् would be उपहन्याम् would destroy इमाःthese प्रजाः beings.