Quadratic factor to complex numbers

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How to convert this quadratic factor to complex number form? (With steps please) Reference: $Z = a + bi$, $i = \sqrt{-1}$

$$-3 + \frac{\sqrt{-12}}{2}$$

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Hint: $$-3+\frac{\sqrt{-12}}{2} = -3 + \frac{\sqrt{12}\cdot\sqrt{-1}}{2}$$