Question

Solve. Show all work.
4(x + 2)² - 320 = 0

Answer 1

4(x+2)^2 - 320 = 0

Answer 2

Lets see your attempt

Answer 3

I don't know how to do this

Answer 4

No worries. So normally what we try to do is to isolate the unknown
in this case, x

Answer 5

let's first do a simpler example to refresh our equation solving techniques
let's say we had:

Answer 6

\[4x \space -2 \space = 0 \]

Answer 7

What could we do with the pink equation to solve for x?
in other words, to isolate x?

Recall that we can apply operations on both sides like add stuff to both sides
divide by stuff on both sides , etc ...

Answer 8

Add a 1 to both sides?

Answer 9

Why add 1? Why not 2

Answer 10

So you add 2 to each side?

Answer 11

Right, its like this: