2x^2 + 4x + 1 = 0 
2x^2 + 4x + 1 - 1 = 0 - 1 
2x^2 + 4x = -1 
X(2x + 4) = -1 
X = -1. 
2x + 4 = -1 
2x + 4 - 4 = -1 - 4 
2x = -5
2x/2 = -5/2
X = -5/2. 
I believe these are the solutions. If not you can use the quadratic formula to solve for the roots, solutions.