Simplify $\dfrac{5+12i}{2-8i}$. Your answer should be of the form $a+bi$, where $a$ and $b$ are both real numbers and written as improper fractions (if necessary).
5+12i2−8i⋅2+8i2+8i=10+24i+40i+96i270=−43+32i35
+1678 
