$(x - 3)^2 = 25$
$x - 3 = ±\sqrt{25}$
x − 3 = ±5
\begin{equation*} \begin{cases} x - 3 = 5 &\\ x - 3 = -5 & \end{cases} \end{equation*}
\begin{equation*} \begin{cases} x = 5 + 3&\\ x = -5 + 3& \end{cases} \end{equation*}
\begin{equation*} \begin{cases} x = 8&\\ x = -2& \end{cases} \end{equation*}

$(x + 4)^2 = 9$
$x + 4 = ±\sqrt{9}$
x + 4 = ±3
\begin{equation*} \begin{cases} x + 4 = 3 &\\ x + 4 = -3 & \end{cases} \end{equation*}
\begin{equation*} \begin{cases} x = 3 - 4&\\ x = -3 - 4& \end{cases} \end{equation*}
\begin{equation*} \begin{cases} x = -1&\\ x = -7& \end{cases} \end{equation*}

$(x - 6)^2 = 7$
$x - 6 = ±\sqrt{7}$
$x = ±\sqrt{7} + 6$

$(x + 2)^2 = 6$
$x + 2 = ±\sqrt{6}$
$x = ±\sqrt{6} - 2$