Question

How do you Factor: 36X - 54 =?

Answer 1

9 (4x - 6)

Explanation:

You don't have a common factor but you have a common divider: 9

so the answer is:

9 (4x - 6)

Answer 2

18(2x - 3)

Explanation:

Hey there! :)

In order to factor 36x - 54, you must find the common factors of it.

So, we must ask ourselves : what number goes into BOTH 36x & -54?

Our answer is going to be 18.

So, let's ask ourselves a couple more questions :

How many times does 18 go into 36x?

&

How many times does 18 go into -54?

36x ÷ 18 = 2x

-54 ÷ 18 = -3

Therefore, 18 goes into 36x 2 times while 18 goes into -54 3 times.

So now that we know that, simply take 18 out like so :

18(2x - 3)

This is our answer because when multiplied by 2x, 18 turns into 36x. In addition, when multiplied by 18, -3 turns into -54.

Hope I helped! :)