Question 1047286
Factorize the 2 on the left member.


{{{2(x^2-5x/2)=7}}}


The term to add to BOTH members to Complete The Square is  {{{(5/(2*2))^2=(5/4)^2}}}.


CAREFUL!  You do not simply add that to both members.  WHY?  Because you factored a 2 from the left member, but not the right member.  You will not simply add  (5/4)^2 to both sides.  You add this term INSIDE the parentheses of the left member, .... and then you add  {{{2(5/4)^2}}} to the right member.  THIS is the kind of thing you need to watch and understand to make progress.


That step is this:
{{{2(x^2-5x/2+(5/4)^2)=7+2(5/4)^2}}}
Be sure you understand.


You continue further steps toward solving x.