As we know the standard form of a quadratic equation is

But when B is equal to 0 in the above it looks like this

. However to get the c in the preceding to look like a standard quadratic equation you must add its inverse to the other side.

Take this for example

Obviously you could just do the

to get +- 7. But What if you wanted to put it in general quadratic form?

If I wanted to put it general quadratic form would this be correct?

Then just use the multiplicative property of zero to solve both equations and arrive at +- 7?

So in conclusion has my reasoning and calculations been correct up to this point?

Many thanks!