00:01
This question asks us two -factor in order to solve this quadratic equation.
00:05
And the first thing we need to do is subtract 9 from the right -hand side of the equal sign because we always want our equation to equal 0.
00:14
So we get 4x squared minus 9 equals 0.
00:18
And i'm going to rewrite this as 4x squared plus 0x minus 9 equals 0.
00:27
And we just need to note what our a, b, and c terms are in this equation.
00:35
And we can factor by using a method called product, sum, and guess.
00:40
So our product, we're always going to multiply our a times our c term.
00:45
So in this case, we get minus 36.
00:48
And our sum is always going to be our b term, which in this case is zero.
00:53
And for our guess column, we want two numbers that will moment.
00:57
Multiply to negative 36 and add to 0.
01:01
And this might be a little tricky.
01:04
So just start listing off factors of 36 and you can do 9 and 4, but we know that's not going to equal 0.
01:12
But if we have 6 and negative 6, that will add to 0, but it will also multiply to negative 26...