Question

Can you solve `(x-2)(x-3)=5` by solving `x-2=5 and x+3=5`?

Answer 1

No, this only works when the right side of the equation is `0`.

Then if one of the terms on the left is equal to `0` then `0 xx` anything is equal to `0`

The same is not true when one of the terms is equal to `5`