\(\Leftrightarrow2a^2+2b^2+2c^2+2ab+2bc+2ac=4a^2+4b^2+4c^2-4ab-4ac-4bc\\ \Leftrightarrow2a^2+2b^2+2c^2-2ab-2bc-2ac=0\\ \Leftrightarrow\left(a-b\right)^2+\left(b-c\right)^2+\left(c-a\right)^2=0\\ \Leftrightarrow\left\{{}\begin{matrix}a-b=0\\b-c=0\\c-a=0\end{matrix}\right.\\\Leftrightarrow\left\{{}\begin{matrix}a=b\\b=c\\c=a\end{matrix}\right.\Leftrightarrow a=b=c \)