Question

find the solution set of equation 2x²-9ix-9=0​

Answer 1

$2 {x}^{2} - 9 ix - 9 = 0 \\ 2 {x}^{2} - 6ix - 3ix + 9 {i}^{2} = 0 \\ 2x(x - 3i) - 3i(x - 3i) = 0 \\ (x - 3i)(2x - 3i) = 0$

$x - 3i = 0 \\ x = 3i$

$2x - 3i = 0 \\ x = \dfrac{ 3i}{2}$