The expression $15x^4-10x^3+5x^2$ can be rewritten in the form $A{x}^n(B{x}^2+Cx+D)$, where $A,B,C,D$ are integers, $A$ is the greatest common factor of the coefficients, and $n$ is the highest power of $x$ common to all terms. What is the value of $A+B+C+D+n$?