00:01
The first thing we're going to do here is clear out the fraction by multiplying by the common denominator of 5.
00:05
You want to make sure that you're doing it to both sides, and we get 5x squared.
00:10
The 5s will cancel, so i have minus 2, and the 5s will cancel here, getting you negative 9x.
00:15
From there, i'm going to move the 9x to the other side by adding it.
00:20
The reason for doing this is so that on the right -hand side, i'm going to get an equal 0.
00:25
Note how here i put the 9x in the middle, because it's always good common practice to put it in standard.
00:30
Standard form.
00:31
From there, we're going to multiply 8 times c to get negative 10 and put b at the bottom, which is 9.
00:36
We need things that are going to multiply to negative 10 that's going to add to negative or to positive 9.
00:41
So the numbers that work for this are going to be 10 and negative 1.
00:45
I'm going to break this apart into those two numbers.
00:48
So 5x squared plus 10x minus 1x, minus 2, and now i can factor by grouping...