I stumbled upon this equation when I was reading:
"Let S(n) be the sum of the digits of the natural number n. Find all natural numbers n that satisfies the equation: 2(S(n))^3+ 7(S(n))^2 + 16 = 3n. "
What I only know after trying this problem many times is that n can't be a one-digit number. Can anybody give me some clues on how I should approach this? ( plz don't spoil me the answers, I just want to know how to solve this)