00:01
For this problem, you want to solve the equation 8x squared plus 10x minus 7 equals 0 by a factory.
00:07
Now, when we factor out 8x squared plus 10x minus 7 equals 0, what you want to do is we have to use the ac method.
00:20
Now, in this method, we need to figure out what the value of a is, the value of c, and the value of b.
00:27
Now a is going to be the coefficient of x squared which equals 8.
00:33
B is going to be the coefficient of x which will be 10, and c is equal to the constant term negative 7.
00:41
So a, c is going to be 8 times negative 7, which is negative 56.
00:48
Now we have to think of two numbers that when multiplied gives us negative 56.
00:54
But when added, we'll give us the middle coefficient b, which is 10.
01:02
Now, negative 56 is the same as 14 times negative 4.
01:09
And if we add 14 and negative 4, that gives us positive 10.
01:17
So then we rewrite 10x as 14x minus 4x.
01:28
So our 8x squared plus nx minus 7 equals 0, we'll be read it as 8x squared plus 14x minus 4x minus 7 equals 0.
01:42
And then we regroup this, group this into 2...