00:03
Right.
00:04
So the first consideration when we look at any equation is, of course, the domain.
00:07
What numbers can we put into the equation? in this case, we have an x in the denominator, which means we cannot divide by zero.
00:15
So x cannot equal zero.
00:18
From there, we're going to start solving, and in order to do that, we need to get x out of the denominator.
00:24
So we'll multiply by the least common multiple of all the denominators.
00:27
In this case, the only denominator we have is this x.
00:30
So we'll multiply every term by x.
00:33
Using the distributive property, x times x is x squared, x times negative 12 over x is negative 12, and x times 4 is 4x.
00:44
We see that this is a quadratic, so we'll move everything to be on one side.
00:49
So x squared plus 4x minus 12 equals 0...