In this problem we are supposed to find all real solutions. It is x(1-x)=6 and I know that the first step you use distributive and get x-x^2=6 but where do you go from here.
Then, rearrange it to
x^2-x+6=0
Look at the quadratic formula
x= (1+-sqrt (1-24))/2
Now, are there any real roots?