00:01
Problem 37.
00:02
All right, we're asked to solve and then check our solutions.
00:07
We want to isolate the absolute value, right? sometimes you can get away with not doing it.
00:13
This is not one of those cases.
00:15
If you don't isolate the absolute value this time, you will not get the correct answer.
00:20
All right, so let's hear.
00:21
Let's continue to solve this.
00:23
We're going to get rid of this minus 14 first, right? the minus 14 is outside the absolute value, but it's on the same side as the absolute value, so we have to get rid of it.
00:32
So we're going to add 14 to both sides to get rid of it.
00:35
So we get 8 equals the absolute value of a minus 3.
00:39
To continue solving this, we're going to rewrite it twice.
00:43
One with just eight and the other one with negative 8, right? always, whenever we're solving these absolute value equations, we write the side without the absolute value as positive and negative versions of itself.
00:55
Right? continuing to solve this.
00:57
So we're going to add three to both sides.
00:58
So we get 11 equals a.
01:03
And same with the other one.
01:04
Add three to both sides...