00:01
When we are solving equations that have exponents higher than two, we're going to use the technique of factoring.
00:08
But before we can factor, we need to make sure that we have a zero on one side of the equation.
00:13
So in this problem, you notice that we do not have a zero.
00:17
So we're going to, in this case, i'm going to bring all of this stuff over to the left -hand side by subtracting that x squared, subtracting that 8x, and then i still have that plus 4.
00:33
So once we have the zero on one side, we want to take a look at this and see how we can factor it.
00:38
Now in this problem i notice that we do not have a greatest common factor.
00:42
So now what we need to do is just count how many terms we have.
00:45
One, two, three, four.
00:47
And if we have four terms, we want to try to use the technique of grouping, which means we put the first two terms in parentheses, big old plus sign in between, and we put the second two terms.
01:02
In parentheses.
01:04
And in each group, we do have a gcf that we can factor out.
01:08
So in the first group, you notice i can factor out an x squared, and i'd be left with 2x minus 1.
01:16
In the second group, you notice it's leading off with a negative...