00:01
Here we have the equation x minus 5 times x minus 4 is equal to 7 times x plus 2.
00:11
And we want to complete the square.
00:12
And in order to complete the square, we need this to be in a specific form.
00:15
So we need this to look like a x squared plus b x plus c equals d, where a is equal to 1.
00:23
Okay, so we are going to do some distributing, multiplying this out.
00:28
So x times x is x squared, x times negative 4 is minus 4x, negative 5 times x is minus 5x, and 5 times 4 is plus 20.
00:41
And then on the other side of the equation, i have 7x plus 14.
00:47
Okay, combining like terms, this gives me x squared minus 9x plus 20 is equal to 7x plus 14.
00:59
And now i want to get all my xes on the same sides.
01:02
I'm going to subtract 7x, which gives me x squared minus 16x plus 20 is equal to 14.
01:14
Okay, so now this can become, now we can complete the square...