Math Olympiad | How To Find All The Values Of X In This Problem

[@RealQinnMalloryu4]

(x ➖ 3)^{x+x ➖ }+{2+2 ➖ }=(x ➖ 3)^{x^2+4}=(x ➖ 3)^4x^2=(x^6 ➖ 81)={x^0+x^0+x^0+x^0+x^0+x^0x^0 ➖ x^0 ➖ x^0 ➖ x^0 ➖ x^0 ➖ x^0}=x^6 x^2^3 (x ➖ 3x+2).

[@RealQinnMalloryu4]

(x ➖ 3)^(x+8)^2= (x ➖ 3)^{x^2+16}=(x ➖ 3)x16x^2(x ➖ 3)^8^8x^2 (x ➖ 3)^2^3^2^3x^2 (x ➖ 3)^1^1^1^1^1^1x^2 (x ➖ 3)x^2(x ➖ 3x+2).