4y^2-10y=0

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

y(4y - 10) = 0

Now, we have two possibilities:

1. y = 0: Substituting y = 0 into the equation, we get: 4(0)^2 - 10(0) = 0 0 - 0 = 0 0 = 0 So, y = 0 is a solution.

2. 4y - 10 = 0: Adding 10 to both sides of the equation, we get: 4y = 10 Dividing both sides by 4, we get: y = 2.5 So, y = 2.5 is a solution.

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