Complex equation solution. How can i resolve it? I have this complex equation $|z+2i|=| z-2 |$. How can i resolve it? Please help me

Let $z=a+bi$ be a complex number that satisfies
$$|z+2i|=|z-2|.$$
Remember that for any complex number $c+di$, the definition of $|c+di|$ is
$$|c+di|=\sqrt{c^2+d^2}$$
So, we have that
$$|z+2i|=|(a+bi)+2i|=|a+(b+2)i|=\sqrt{a^2+(b+2)^2}$$
and
$$|z-2|=|(a+bi)-2|=|(a-2)+bi|=\sqrt{(a-2)^2+b^2}.$$
Are you able to solve for the values of $a$ and $b$ such that the two expressions above are equal?
