00:01
The first thing we need to do on this problem is get all of our terms on the same side.
00:05
So to do that, we're going to subtract 7a over to the other side, and then combine our like terms.
00:14
So we have 7a squared, and then 14a minus 7a is 7a, and that equals 0.
00:24
So now we need to factor.
00:29
These are both divisible by 7a, so we can factor out a 7a, and that leaves us with a plus 1.
00:37
Equals 0.
00:40
So now that we've done that, we're going to go ahead and set each of these factors equal to 0 and solve.
00:47
So for our first solution, we get a equals 0.
00:54
And then for our second solution, we get a equals negative 1.
01:00
Now we just need to check our answers.
01:04
To check, we're going to take our a values that we found, and we're going to go back to the original equation and plug them in.
01:12
For each of those a terms.
01:17
So starting with the 0, we have 7 times 0 squared plus 14 times 0 equals 7 times 0.
01:27
And as we know, anything multiplied by 0 is 0...