00:01
X over 4 minus x equals 2 over x, and we're going to solve for x.
00:06
So i'm going to start by cross multiplying, and i get x squared equals 2 times 4 minus x.
00:13
This gives me x squared equals 8 minus 2x because we have to distribute.
00:19
So i'm going to put everything on one side, so i'm going to subtract 8 and add 2x to both sides.
00:26
I get x squared plus 2x minus 8 equals 0.
00:31
So i'm going to look at factoring this.
00:36
And we want a number that when multiplied together gives me negative 8.
00:41
And when added together gives me 2.
00:45
Well, when we look at 8, i can split that into 4 times 2.
00:49
So if i put 4 times 2 here, it doesn't give me negative 8.
00:53
It gives me positive 8.
00:55
So one of these numbers needs to be negative...