toけるkeru
1.

To become untied or loosened to the point where something ceases to perform its original function or role, such as a knot or tie becoming slack and detached.

2.

To experience a release from constraints or emotional tension, resulting in a state of freedom or relaxation.

3.

To return to an original state from being tangled or knotted, suggesting a resolution or clarification of physical or abstract entanglements.

4.

To have a previously unclear or problematic situation clarified, leading to the discovery of answers or solutions to questions.

Example:

いちばん頭の良い生徒でさえ、その問題は解けなかった。

Example:

砂糖は水に溶ける。

ほどhodoけるkeru
1.

To experience the loosening or separation of something that was previously tied or bound, resulting in it no longer fulfilling its original function or purpose.

2.

To attain freedom from constraints or restrictions, leading to a release of pent-up emotions or tension.

3.

To revert from a tangled state back to an original or organized condition.

4.

To have clarity or understanding achieved regarding a previously confusing issue or problem, resulting in the resolution of uncertainty.

5.

To be dismissed or relieved from a position or duty, typically in a formal context.

Example:

ネクタイがほどけてるよ。

uchitoけるkeru
1.

To reach a state of comfort and familiarity in a relationship, characterized by the absence of suspicion or hesitation.

2.

To engage in open and candid conversation, where barriers between individuals are lowered and genuine feelings are exchanged.

3.

To allow oneself to relax and feel at ease in the presence of others, leading to a more genuine and heartfelt connection.

4.

To dissolve emotional barriers that typically prevent candid expression, facilitating a more intimate and trusting interaction.

5.

To transition from a state of formality or distance to one of warmth and friendliness, fostering a sense of belonging and openness.

Example:

当時、とにかくケンブリッジでは、研究所生活はかなり打ち解けたものだった。