Answer
$-24+20i$
Work Step by Step
We start with the given expression: $-4i(-5-6i)$
We use the distributive property to multiply: $-4(-5i)+(-6i)(-4i)$
We multiply the real and imaginary terms: $20i+24i^2$
Since $i^2$ is equal to $-1$, we simplify the expression as follows: $24(-1)+20i=-24+20i$
