We need to solve the expression $(2 + \sqrt{-4})(-1 + \sqrt{-9})$.

1. Problem Description

We need to solve the expression $(2 + \sqrt{-4})(-1 + \sqrt{-9})$.

2. Solution Steps

First, we simplify the square roots of negative numbers.

$\sqrt{-4} = \sqrt{4} \cdot \sqrt{-1} = 2i$

$\sqrt{-9} = \sqrt{9} \cdot \sqrt{-1} = 3i$

So the expression becomes $(2 + 2i)(-1 + 3i)$.

Now, we multiply the two complex numbers:

$(2 + 2i)(-1 + 3i) = 2(-1) + 2(3i) + 2i(-1) + 2i(3i) = -2 + 6i - 2i + 6i^2$

Since $i^2 = -1$, we have:

$-2 + 6i - 2i + 6(-1) = -2 + 6i - 2i - 6 = -8 + 4i$

3. Final Answer

$-8 + 4i$