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## Main Question or Discussion Point

hello everyone,

I usually post my questions on one small czech mathematical forum, but here is an equation noone knows how to "solve". I`ve came to it by accident, when I made an mistake in one combinatorics equation.

[tex]x! + (x-3)! = 16x - 24[/tex]

its fairly simple to solve in one way(x has to be greater than 2, and from some point left side is greater than right side, because (x-3)! is always greater then 0 and we don`t have to care about -24 on the right side, so we can check for which x is x! > 16x. this leaves us only very few possibilities for x to check).

this is nice, but I`d like to know if its possible to get it in form x = something. I can`t think of any way how to do it.

also, this equation doesn`t have any solution, its rather theoretical question.

I usually post my questions on one small czech mathematical forum, but here is an equation noone knows how to "solve". I`ve came to it by accident, when I made an mistake in one combinatorics equation.

[tex]x! + (x-3)! = 16x - 24[/tex]

its fairly simple to solve in one way(x has to be greater than 2, and from some point left side is greater than right side, because (x-3)! is always greater then 0 and we don`t have to care about -24 on the right side, so we can check for which x is x! > 16x. this leaves us only very few possibilities for x to check).

this is nice, but I`d like to know if its possible to get it in form x = something. I can`t think of any way how to do it.

also, this equation doesn`t have any solution, its rather theoretical question.