Question 231170
You seem to have divided wrong!


3x^2 -6x=3


x^2-2x=1


Now add +1 to each side:
x^2-2x+1=1+1
(x-1)^2=2


Square root each side:

{{{(x-1) = 0+-sqrt(2)}}}


Add +1 to each side:
{{{x=1+-sqrt(2)}}}


Dr. Robert J. Rapalje