00:01
So let's look at the equation 1 over x.
00:04
1 over x plus 1 over x plus 3 equals 1 over 4.
00:13
So we're going to start by finding the lcd lowest common denominator, which would be 4xx plus 3.
00:21
And we're going to multiply each of our terms by this lcd.
00:24
This is going to allow us to cancel the way our denominators.
00:28
If we multiply one term, we have to multiply all the terms.
00:31
That keeps our equation from changing value.
00:36
Okay, so let's see what cancels.
00:37
The x cancels with the x, and it looks like we're left with 4 times x plus 3.
00:41
So we're going to multiply into the brackets.
00:44
So we would get 4x plus 12 plus.
00:48
The x plus 3 cancels with the x plus 3, so it looks like we're left with 4x equals.
00:53
And for our last group, it looks like the length of it cancels is the 4, so we're going to multiply the x into the brackets.
00:59
And we will get x squared plus 3x.
01:02
We're going to go ahead and move all the terms to one side.
01:04
So we have 4x plus 4x, so we're going to subtract 8x from both sides...