Question: User: 5i(-4 + 2i)
1. **State the problem:** Simplify the expression $$5i(-4 + 2i)$$.
2. **Recall the distributive property:** Multiply each term inside the parentheses by $$5i$$.
3. **Apply multiplication:**
$$5i \times (-4) = -20i$$
$$5i \times 2i = 10i^2$$
4. **Recall that $$i^2 = -1$$:**
$$10i^2 = 10 \times (-1) = -10$$
5. **Combine the results:**
$$-20i - 10$$
6. **Write the final answer:**
$$-10 - 20i$$
This is the simplified form of the expression.