In the Pali suttas, the term "householders equinimity" does not refer to the content of the question but refers to not seeing the dangers of sensuality, i.e., regarding or accepting sensuality as OK and normal.
Returning to the content of the question, the Buddha taught (in SN 48.10; end of MN 118) jhana is developed by making letting go/surrender/relinquishment (vossagga) the meditation object.
Its not enough have no hindrances and just deliberately focus the mind at breathing. Such practise is too rigid for jhana.
To develop jhana, the mind/consciousness must drop naturally, gently & silently into the body. Celibacy is also generally a required for this. No sex; no masturbation; etc.
The Pali suttas say "malleability" or "flexibility" ("kammaniya") is a quantity of right concentration. If concentration is too ambitious, too stiff and too rigid, jhana will not be reached. Right concentration is born of letting go.
Best wishes.
As for samadhi, an empty mind is the supreme samadhi, the supremely focused firmness of mind. The straining and striving sort of samadhi isn't the real thing and the samadhi which aims at anything other than non-clinging to the five khandas is micchasamadhi (wrong or perverted samadhi). You should be aware that there is both micchasamadhi and sammasamadhi (right or correct samadhi). Only the mind that is empty of grasping at and clinging to 'I' and 'mine' can have the true and perfect stability of sammasamadhi. One who has an empty mind has correct samadhi.