4y^2-10y=0

To solve the equation 4y^2 - 10y = 0, we can factor out the common factor of y:

y(4y - 10) = 0

Now we have two possibilities for this equation to be true:

1. y = 0
2. 4y - 10 = 0

For the first possibility, y = 0.

For the second possibility, we solve for y:

4y - 10 = 0 4y = 10 y = 10/4 y = 2.5

So the solutions to the equation 4y^2 - 10y = 0 are y = 0 and y = 2.5.