Solve for x.

First, add 3 to both sides,

2x^2=2x-3,

2x^2+3=2x-3+3

2x^2+3=2x

Then, subtract 2x on both sides,

2x^2+3-2x=2x-2x

2x^2-2x+3=0

After that, solve with the quadratic formula to get the third option.