5x^2-8x=0

To solve the equation \( 5x^2 - 8x = 0 \), you can factor out the common term \( x \):

\[ x(5x - 8) = 0 \]

Now, you can set each factor equal to zero:

1. \( x = 0 \)
2. \( 5x - 8 = 0 \)

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

\[ 5x = 8 \] \[ x = \frac{8}{5} \]

So, the solutions to the equation \( 5x^2 - 8x = 0 \) are:

\[ x = 0 \quad \text{and} \quad x = \frac{8}{5} \]