# Math Help - Complex number question

1. ## Complex number question

Right so the question i need help with is as follows

Solve the following equation for the complex number z.

z = 2+3i
z+1

plz help

2. Hi

$\frac{z}{z+1} = 2+3i$

$z = (2+3i)z + (2+3i)$

$(1+3i)z = - (2+3i)$

$z = \frac{-2-3i}{1+3i}$

$z = \frac{-2-3i}{1+3i} \;\;\frac{1-3i}{1-3i}$

$z = \frac{-11+3i}{10}$