2x2+3x+1=0

Solve 2x^2 + 3x + 1 = 0.

• Factorization: 2x^2 + 3x + 1 = (2x + 1)(x + 1) = 0
• Solutions: x = -1 or x = -1/2

Alternative using quadratic formula (a=2, b=3, c=1):

• Discriminant D = b^2 - 4ac = 9 - 8 = 1
• x = [-b ± sqrt(D)]/(2a) = [-3 ± 1]/4 → x = -1 or x = -1/2

If you want, I can show a graph or a quick check.