2x2 - x = 0

To solve the equation \( 2x^2 - x = 0 \), we can factor it.

1. Factor out \( x \): \[ x(2x - 1) = 0 \]

2. Set each factor equal to zero:

   • \( x = 0 \)
   • \( 2x - 1 = 0 \)

3. Solve the second equation: \[ 2x = 1 \quad \Rightarrow \quad x = \frac{1}{2} \]

Thus, the solutions to the equation \( 2x^2 - x = 0 \) are: \[ x = 0 \quad \text{and} \quad x = \frac{1}{2} \]