Question

Simplify: -5/2+3i

Answer 1

I'm assuming you mean this...
\[\Large \frac{-5}{2+3\color{green}i}\]
?

Answer 2

\[\frac{ -5 }{ 2 +3i } = \frac{ -5(2-3i) }{( 2+3i)(2-3i) }=\frac{ -10+15i }{ 4-6i+6i-9i ^{2} }=\frac{ -10+15i }{ 4-9i ^{2} }=\frac{ -10+15i }{ 4-9(-1) }=\frac{ -10+15i }{ 4+9 }\]
\[\frac{ -10+15i }{ 13 }=\frac{ -10 }{ 13} + \frac{ 15i }{ 13 }=-0.76923+1.5385i\]

Answer 3

I'm not sure if you can understand that but that is how it's done

Answer 4

Yes it makes sense to me. Thank you

Answer 5

I deserve a medal lol