2x2-5x=0

To solve the quadratic equation \(2x^2 - 5x = 0\), we can factor out \(x\):

1. Factor the equation: \[ x(2x - 5) = 0 \]

2. Set each factor equal to zero: \[ x = 0 \quad \text{or} \quad 2x - 5 = 0 \]

3. Solve for \(x\) in the second equation: \[ 2x - 5 = 0 \implies 2x = 5 \implies x = \frac{5}{2} \]

Thus, the solutions to the equation \(2x^2 - 5x = 0\) are: \[ x = 0 \quad \text{and} \quad x = \frac{5}{2} \]