Question

solve by completing the square:
a^2+8a=4a-4
a=??

Answer 1

let me figure it out

Answer 2

sure!

Answer 3

x = -2
x = -2

Answer 4

Okay I got it. Let me explain.

Answer 5

sure!

Answer 6

x=2, and x=-6, there are two solutions.

Answer 7

First, get all of them on one side: a^2-4a+4 is combined.

Answer 8

Then complete the square. You take the middle term (4), cut it in half (2), and square it (4)

Answer 9

so it would be a^2-4a+4+4 (then you have to add that (4) to the last term too), so it would be a^2-4a+4+4+4

Answer 10

it factors out to be (2 + -1a)(2 + -1a) , so nevermind, it comes out to be -2 and -2, so only one answer of -2

Answer 11

So the two solutions turn into one.