00:01
So here we have 9x squared minus 12x plus 4 equals 0, and we want to solve for x.
00:08
And we want to do it using the zero factor property.
00:11
So first step in solving with the zero factor property is to factor.
00:15
Our a is not equal to 1.
00:18
So we are going to draw our handy box.
00:26
We're going to put our 9x squared in this box and our 4 here.
00:31
We're going to multiply our a and c together, 9 times 4, to get 30.
00:37
And we want factors of 36 that we can combine to get 12.
00:42
It's a perfect square.
00:43
6 times 6 will get us 12.
00:46
So that's the factors we're going to put in our other box.
00:50
And we're going to tack on an x next to them.
00:55
And now we want to find common factors.
00:57
So in the top row, a common factor is 3x.
01:01
In the bottom row, a common factor is 2.
01:05
In our left column, a common factor is 3x.
01:11
And in our right column, a common factor is 2.
01:15
We don't need signs yet...