3x^2 + 2x = 0

Solve 3x^2 + 2x = 0.

• Factor: x(3x + 2) = 0
• Solutions: x = 0 or 3x + 2 = 0 ⇒ x = -2/3

So, x = 0 or x = -2/3. (If you use the quadratic formula: a=3, b=2, c=0 gives x = [-2 ± sqrt(4)]/6 → 0 or -2/3.)