different between untroubled vs slipshod

English

un- +? troubled

untroubled (comparative more untroubled, superlative most untroubled)

Without worries; free from care.
Once the exams were over, she enjoyed untroubled sleep once more.

slip + shod (“wearing shoes”), originally "wearing slippers", "slovenly" is from early 19th century.

slipshod (comparative more slipshod, superlative most slipshod)

Done poorly or too quickly; slapdash.
- 1880, Mark Twain, "The Awful German Language":
  Surely there is not another language that is so slipshod and systemless, and so slippery and elusive to the grasp.
- 1999 Aug. 22, Johanna McGeary, "Buried Alive," Time:
  Newspapers pointed at greedy contractors who used shoddy materials, slipshod methods and the help of corrupt officials to bypass building codes.
(obsolete) Wearing slippers or similarly open shoes.
- 1840, Charles Dickens, Barnaby Rudge, Chapter 67:
  [T]hey wandered up and down hardly remembering the ways untrodden by their feet so long, and crying [...] as they slunk off in their rags, and dragged their slipshod feet along the pavement.
- 1870, Bret Harte, "From a Back Window"
  That glossy, well-brushed individual, who lets himself in with a latch-key at the front door at night, is a very different being from the slipshod wretch who growls of mornings for hot water at the door of the kitchen.

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