Verified answer

[tex]6 {x}^{2} -{ (x + 2) }^{2} = - 4(x - 4) \\ 6 {x}^{2} - ( {x}^{2} + 4 x + 4 ) = - 4 x + 16 \\ 6 {x}^{2} - {x}^{2} - 4x - 4 + 4x - 16 = 0 \\ 5 {x}^{2} - 20 = 0 \: | \div 5 \\ {x}^{2} - 4 = 0 \\ {x}^{2} = 4 \\ x_{½}=±2[/tex]