Find $w$ if $|3-2i+w|=0$.
I know that the modulus of a complex number is zero if and only if the complex number itself is zero. So, I want to find $w$ such that $3-2i+w=0$. I can rearrange this equation to get $w=-3+2i$. This is the only possible value of $w$ that satisfies the given equation.

