You can start by factoring out the common factor of 2:
This trinomial just happens to factor:
There are two solutions:
2x-1=0
2x=1
x-1=0
x=1
If you need more help solving quadratic equations by factoring, see my Lesson Plans in algebra.com, or go to my own website by clicking on my tutor name "rapaljer" anywhere in algebra.com. Look for "Math in Living Color", then look in Basic Algebra or Intermediate Algebra, Chapter 2 for the topic "Solving Quadratic Equations".