Solve the epuation 4X2-24=8x for x by completing the spuare

$$\small{\text{
$
\begin{array}{rcrcr}
4x^2-24 &=& 8x & \quad | \quad & :4 \\
x^2-6 &=& 2x & \quad | \quad & -2x\\
x^2 -2x - 6 &=& 0 & \quad | \quad & +6\\
x^2 -2x &=& 6 & \\
\underbrace{(x-1)^2}_{=x^2-2x+1} -1 &=& 6 & \quad | \quad & +1\\\\
(x-1)^2 &=& 7 & \quad | \quad & \pm\sqrt{} \\
x-1 &=& \pm\sqrt{ 7 } & \quad | \quad & +1\\
x &=& 1\pm\sqrt{ 7 } \\ \\
x_1 &=& 1 + \sqrt{ 7 } \\
x_2 &=& 1 - \sqrt{ 7 } \\
\end{array}
$
}}$$