00:01
To solve this equation, we are going to multiply both sides of the equation by the lcd, which is x.
00:09
So the left side, that's going to be x squared plus 8, and the right side is 6x.
00:17
So we're going to move the 6x over to the left, and we end up with a quadratic, which is x squared minus 6x plus 8 is equal to 0.
00:26
And we can factor the left side, that is x minus 2 times x minus 4.
00:33
And that's equal to 0.
00:35
So this tells us that our solutions are x equals 2 or x equals 4.
00:42
Now we just have to put both of these numbers back into our original equation to see whether or not they work.
00:50
So let's try 2 first.
00:53
2 is going to give us.
00:54
So that's 2 plus 8 over 2...