00:01
So first thing i'm going to do is just group all my x terms, 2x squared minus 2x, group all my y terms, plus 2y squared plus 4y, group my z terms plus 2z squared, and then i'm also going to move over the constant to the other side equals negative 1.
00:18
Now with each of these terms, x, y, and z, i'm going to complete the square.
00:23
So first, with the x's, i'm just going to pull out of 2.
00:26
And what i'm going to do to this middle term, this negative 1, okay, so i'm going to think about, okay, i'm going to divide it by two, and then i'm going to raise it to the second power.
00:36
So negative one -half times again one -half is positive one -fourth.
00:40
So this is two x squared minus one -x plus one -fourth.
00:46
And i want to add this to the other side.
00:48
So negative one -fourth, but i have to multiply by that two, so one -fourth times two.
00:55
Do the same thing for the ys, pull out the two, y -squared plus two -y.
00:58
So my b term is two.
01:00
Divided by 2 and square that...