Question

Given the expression -7+6i/2+3i , perform the indicated operation and write the answer in the form a + bi.

Answer 1

$\dfrac{-7+6i}{2+3i}\times\dfrac{2-3i}{2-3i}=\dfrac{(-7+6i)(2-3i)}{(2+3i)(2-3i)}=\dfrac{4+29i}{4-9i^2}=\dfrac4{13}+\dfrac{29}{13}i$