Example:

This suggests two solutions,

and

.
However, upon plugging these solutions back into the equation, you get

which checks out, but

does not because

is defined only for

(assuming you're looking for real solutions only). So, we call

an extraneous solution, and the complete solution set (over the real numbers) is

.
Your answer is 9.
Since you have
2(2)^2 you get 2(4) which is 8.
Then you have -3(2) which is -6.
Lastly you have the 7.
When you add it up you get.
9
If the equation

has undergo completing the square, the answer would be:


**In this example, since 6x is the middle term, what comes to my mind is the polynomial (x+3) because 2ab results into 6x. [from the special products lesson

]

So if the equation is equal to y, then this equation's

The vertex would be on the point (-3, -17)
The answer to how many batches is 9, hope this helped.