college
posted by Ashalalalala .
Complete the square
2y^2y6=0

2(y^21/2 y 3)
add and subtract (1/4)^2
2(y^21/2 y +1/16 31/16)=0
2(y1/4)^2=6 1/8
(y1/4)^2= 3 1/16=49/16 
The subject is algebra, and it is not college level.
Start with
y^2 y/2 = 3
To make the left a perfect square, add 1/16 to both sides.
y^2  y/2 + 1/16 = 49/16
[y  (1/4)]^2 = 49/16
y  1/4 = + or  7/4
Add 1/4 to both sides for the two answers