a^2+4a=0................

Question

I need help with my math homework!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Hello, thank you for taking the time to post your question!

The idea on this type of question is that you want to start by factoring out any common terms. For this question that means

a^2 + 4a = 0

a(a + 4) = 0

meaning that the solutions are

a = 0    and    a = -4

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

a^2 + 4a = 0 since 'a' is common in both the terms, remove it from the bracket. a(a + 4) = 0 If you look at this, we know 'a' has two correct answers. 1. If a = 0 0(0 + 4) = 0 2. If a = -4 -4(-4 + 4) = 0 There you go, a = 0 or -4