Identify the Zeros and Their Multiplicities (x-2i)(x-3i)

If any individual factor on the left side of the equation is equal to ${\displaystyle 0}$, the entire expression will be equal to ${\displaystyle 0}$.

Set ${\displaystyle x-2i}$ equal to ${\displaystyle 0}$ and solve for ${\displaystyle x}$.

Set ${\displaystyle x-3i}$ equal to ${\displaystyle 0}$ and solve for ${\displaystyle x}$.

The final solution is all the values that make ${\displaystyle (x-2i)(x-3i)=0}$ true. The multiplicity of a root is the number of times the root appears.