00:01
Let's solve this equation for x.
00:02
Now, in order to begin, we just have to, well, multiply everything by the lowest common denominator, so that these two denominators are eliminated.
00:10
In this case, the lowest common denominator is 4 times x plus 1.
00:15
This will be multiplied by every single term.
00:19
So, when this is multiplied, on the left, the 4s will cancel, giving us x plus 1 times 4x plus 3.
00:26
Then the x plus ones will cancel here, giving us minus 4 times 2x, and nothing cancels on the right, giving us 4x times x plus 1.
00:37
Let's distribute things.
00:39
So on the left, we'll now have 4x squared plus 3x plus 4x plus 4x plus 3.
00:46
Then this 4 and 2 multiply together to give us minus 8x.
00:51
And on the right, we're going to have 4x squared plus 4x.
00:57
All right, there's some cancellation to be done...