[tex]x^2=14x-49 \\ \\ x^2 - 14x + 49 = 0 \ / \ move \ terms \\ \\ x^2 - 2(x)(7) + 7^2 = 0 \ / \ rewrite \\ \\ (x - 7)^2 = 0 \ / \ square \ of \ difference \ method \\ \\ x - 7 = 0 \ / \ square \ root \ each \ side \\ \\ x = 7 \ / \ add \ 7 \\ \\ [/tex]
The answer is: x = 7.
