Question

$$\left. \begin{array} { l } { \quad ( x + 5 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 9 } \end{array} \right.$$

Solve for x (complex solution)

$x=-i\sqrt{y-2}\sqrt{y+4}-5$
$x=i\sqrt{y-2}\sqrt{y+4}-5$

Solve for x

$x=-\left(\sqrt{\left(2-y\right)\left(y+4\right)}+5\right)$
$x=\sqrt{\left(2-y\right)\left(y+4\right)}-5\text{, }y\geq -4\text{ and }y\leq 2$