\(\sqrt{x + 12} = x + 2\)
\((\sqrt{x + 12})^{2} = (x + 2)^{2}\)
\(x + 12 = x^{2} + 4x + 4\)
\(12 = x^{2} + 3x + 4\)
\(0 = x^{2} + 3x - 8\)
\(x = \frac{-(3) \± \sqrt{(3)^{2} + 4(1)(-8)}}{2(1)}\)
\(x = \frac{-3 \± \sqrt{9 + 4(-8)}}{2}\)
\(x = \frac{-3 \± \sqrt{9 - 32}}{2}\)
\(x = \frac{-3 \± \sqrt{-23}}{2}\)
\(x = \frac{-3 \± i\sqrt{23}}{2}\)
