Question

How do you solve `x^2 + 8x = 0`?

Answer 1

`x=-8,0`

Explanation:

Factor an `x` term from both terms on the left-hand side.

`x(x+8)=0`

Now that we have two separate terms being multiplied and equaling `0`, the terms being `x` and `(x+8)`, we know that either one of these terms must be equal to `0`.

So, we have `x=0` or `x+8=0`, so the two solutions are `x=-8,0`.