00:01
In this problem, we're being asked to solve the given equation by factoring.
00:03
First off, is set equals a zero, so that's great.
00:06
Now, you might think you have to actually go ahead and square that binomial, but you actually don't.
00:10
So i'm going to show you a shortcut.
00:12
So what i'm going to do, because it might be confusing, is that i'm going to let y equal to x minus 5.
00:18
So if i substitute y in place of y minus 5, that will leave us with y squared minus 9 equal to 0.
00:26
Okay.
00:26
Well, the reason why i did this is because now this is the example of the difference of squared's problem.
00:31
Because y is being squared, and we can rewrite 9 as 3 squared.
00:37
So remember, we have a shortcut to factor this.
00:39
If we have a squared minus b, it will factor to a plus b times a minus b.
00:45
And in this case, a is equal to y and b is equal to three...