First, we expand the brackets:
2x^2 + x = 1
Then we shift everything on the same side:
2x^2+x-1=0
Then you can factorise the equation:
(2x-1)(x+1) = 0
either of these brackets can equal zero.
2x - 1 = 0; 2x = 1; x = 0.5
x + 1 = 0; x = -1
Therefore x = 0.5 and -1