Question

please help me to solve this question ,I m unable to understand the solution .

Answer 1

${x}^{2} - 3 \sqrt{2} x + 2ix - 6 \sqrt{2} i = 0 \\ x(x - 3 \sqrt{2} ) + 2i(x - 3 \sqrt{2} ) = 0 \\ (x + 2i)(x - 3 \sqrt{2} ) = 0$