Answer:
[tex]x = \frac{ - 1 + \sqrt{47i} }{8} \: \frac{ - 1 - \sqrt{47i} }{8} [/tex]
Step-by-step explanation:
[tex]1. \: x = - 4 {x}^{2} - 3 \\ 2. \: x + 4 {x}^{2} + 3 = 0 \\ x = \frac{ - 1 + \sqrt{47i} }{8} \: \frac{ - 1 - \sqrt{47i} }{8} [/tex]