okay i am completely lost after reviewing everything my mind is blank cans some one help me with the steps.

Solve by completing the square

x^2=5x+2

1st: You need to bring the 5x+2 to the other side so you have x^2-5x-2
2nd: Find the values to where when multiplied equal -2 and when added together equal -5, and/or if you cant do this, plug your values into the quadric formula and you should get your answer.
I hope this helps at least a little bit :)

x^2 -5x =2

then, take half of -5, square it, and add to both sides. Half of -5 is -5/2, square it is 25/4
x^2 -5x +25/4 =2+25/4

(x-5/2)^2 = sqrt (2+25/4 )

x-5/2 = +- 1/2 sqrt (33) check that.