Valmiki Ramayana Ayodhya Kanda Sarga 106 Shloka 33

ताम्यता by the distressed, भरतेन by Bharata, तथा in that way, शिरसा with head bowed low, प्रसाद्यमानः propitiated, महीपतिः lord of the earth, सत्त्ववान् virtuous, रामः Rama, पितुः father's, तद्वचने in the words (of his father), प्रतिष्ठितः established, गमनाय to go back, मतिम् resolve, न चक्रे did not make.

Thus besought and propitiated by Bharata with his head bowed low and distressed, the virtuous lord of the world, Rama, firmly established in the words of his father, resolved not to go back to Ayodhya.