Question

$$\left. \begin{array} { l } { v } \\ { \quad 2 v ^ { 2 } + 12 v + 22 = ( v + 1 ) ^ { 2 } } \end{array} \right.$$

Solve for v, w

$v=-3\text{, }w=-3$
$v=-7\text{, }w=-7$