00:01
We need to solve the following for x, and in order to do that, we need to factor.
00:04
So our first one, we have two parentheses.
00:08
One's going to be plus, one's going to be minus, so x squared breaks up into x and x.
00:13
Six, we've got six and one, two, and three, and the only way we subtract those to get five is to have a two and a three.
00:20
Oh, no, sorry, a five and a six and a one.
00:23
So we have minus six plus one equals zero.
00:27
So then we set each of the parentheses equal to zero, so x, x, minus 6 equals 0, and x plus 1 equals 0.
00:35
So from our first one, we get x equals positive 6, when we move the x, the 6 over.
00:41
And for our second one, we get negative 1.
00:43
So those are our two answers when we solve for x for letter a.
00:48
So letter b, we do the same thing.
00:50
We factor.
00:54
So we got x and x.
00:56
12, we're going to subtract the factors of 12, and the only ones to subtract to give you a 4 are 6 and 2.
01:03
So we have a positive 6 and a minus 2.
01:06
We set each parentheses equal to 0, so x plus 6 is equal to 0, x minus 2 is equal to 0.
01:13
So we move the 6 over, so we get x is equal to negative 6 for one answer, and we get x equals positive 2 as an x answer.
01:21
For letter c, we got 15, so we factor it's positive 15, so that means we're going to have to add.
01:29
The only two numbers that multiply to give you 15 that add to 8 are 3.
01:34
And five.
01:35
They both have to be minus.
01:37
So we set each parentheses is equal to zero.
01:40
So x minus three is equal to zero.
01:42
X minus five is equal to zero.
01:45
When we move the three over, it x becomes a positive three.
01:49
And when we move the five over, it becomes positive five.
01:52
So those are to the two answers for letter c.
01:56
Letter d, we factor.
02:00
So we've got x and x...