Can You Factor If Possible?

6x² - 9xy + 3y²

Solution:
                                                           6x² - 6xy – 3xy + 3y² = 0
                                                           
6x (x - y) – 3y (x - y) = 0
                                                           (x – y) (6x – 3y) = 0

Now
                                                           
x - y = 0     ,     6x – 3y = 0
                                                     
x = y          ,     6x = 3y
                                                          
x = y          ,     x = 3y/6
                                                           
x = y          ,     x = y/2

Hence
                                                     Solution Set = {y , y/2}