00:02
All right, so we have an equation f of x and we have an equation g of x and we want to find out what x is if we set those two equations equal to each other.
00:11
So first thing is first, let's go ahead and get rid of these fractions.
00:15
We can do so by multiplying the denominators, both of the denominators, by both sides.
00:20
So if we multiply 4 and 4x on both sides, what that's going to do is that's going to cancel out those two.
00:27
And that's going to cancel out those two.
00:29
So, left over we're going to have 4x, 3 minus x equals 4.
00:37
Now we can go ahead and distribute, giving us 12x minus 4x squared equals 4.
00:48
Let's go ahead and get everything on the same side of the equation by plusing 4x squared on both sides and minusing our 12x on both sides.
00:56
So we're going to have 4x squared minus 12x plus 4 equals 0.
01:05
And we can actually divide this entire equation by 4.
01:09
Just making it a little simpler...