4y^2-10y=0

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

y(4y - 10) = 0

Now, we have two factors that could equal zero: y = 0 or 4y - 10 = 0.

Solving the second equation: 4y - 10 = 0 Adding 10 to both sides: 4y = 10 Dividing both sides by 4: y = 10/4 Simplifying the fraction: y = 5/2

So the solutions to the equation are y = 0 and y = 5/2.