#### Answer

$(2+4i)(-1+3i)=-14+2i$

#### Work Step by Step

$(2+4i)(-1+3i)$
Evaluate the product by multiplying each term of the first factor by every term of the second factor:
$(2+4i)(-1+3i)=-2+6i-4i+12i^{2}=...$
Substitute $i^{2}$ by $-1$ and simplify:
$...=-2+6i-4i+12(-1)=-2+2i-12=-14+2i$