00:01
For this problem, to be able to solve for a, you can use the least common denominator in combining like terms.
00:07
To start, let's see if there's any exclusions since a is in the denominator.
00:12
For the 3 over a, we know that a cannot equal 0 because it is the only thing in the denominator.
00:22
Also, the 2 over a plus 3 cannot equal 0.
00:27
So, a plus 3 cannot equal 0.
00:32
So if we subtract 3 over to the right side, we know that a cannot equal negative 3.
00:42
So these two will be exclusions when solving for our problem.
00:48
To start, we will need to get the same denominators.
00:52
So we will multiply a plus 3 over a plus 3 on the very first term.
01:04
And this allows us to have the same denominator.
01:07
For the 2 over a plus 3, we can multiply that by a over a.
01:28
When these are multiplied, we will get 3a plus 9 over a times a plus 3.
01:51
And this will be subtracted by 2a over a times a times 3.
02:11
And on the right of the equation, it'll equal the same since it does have the least common denominator.
02:18
So this will be 9 over a times a plus 3.
02:29
Now that they are all the same denominators, we are able to combine like terms.
02:35
To do this, we can subtract the 9 over a times a plus 3 to the left side of the equation.
02:44
Then we are able to combine the numerators and solve...