Комплексные числа, помогите пжлст

[latex]z_1=8i\; ,\; \; z_2=12-2i\; ,\; \; \overline {z_1}=-8i\\\\ \frac{\overline {z_1}}{z_2}\cdot z_1+z_2= \frac{-8i\, \cdot \, 8i}{12-2i} +12-2i= \frac{-64i^2\cdot (12+2i)}{(12-2i)(12+2i)}+12-2i=\\\\=\frac{64(12+2i)}{144-4i^2} +12-2i= \frac{128(6+i)}{144+4}+12-2i= \frac{128(6+i)}{148} +12-2i=\\\\= \frac{32(6+i)}{37} +12-2i= \frac{192}{37} + \frac{32}{37}i+12-2i= \frac{636}{37} -\frac{42}{37} i[/latex]