Take one half of - and then square that answer which = and add to both sides

+ = - +

Combine like terms on the right to get

and then subtract that from both sides to get

can be reduced to so that

Eliminate the fractions by multiplying it all by 2 and then instead of completing a square I've completed a large useless circle as I arrive back at the original equation.

Now, I also used as the square of half of but eventually it also ends up as

on the left hand side of the equation.

I did this problem with the quadratic formula in about 45 seconds but I have to learn it this way. If nothing else my LaTex skills have been markedly improved in this post.

Any help is appreciated. Thanks.