3х^2-5х=0

To solve the equation \(3x^2 - 5x = 0\), you can factor out the common term \(x\):

\[ x(3x - 5) = 0 \]

Setting each factor equal to zero gives:

1. \(x = 0\)
2. \(3x - 5 = 0\)

For the second equation, solving for \(x\):

\[ 3x = 5 \] \[ x = \frac{5}{3} \]

Thus, the solutions to the equation \(3x^2 - 5x = 0\) are:

\[ x = 0 \quad \text{and} \quad x = \frac{5}{3} \]