3у(4-у)=0

To solve the equation \(3y(4 - y) = 0\), we can use the Zero Product Property, which states that if the product of two factors equals zero, at least one of the factors must be zero.

The equation can be factored into two parts:

1. \(3y = 0\)
2. \(4 - y = 0\)

Now we can solve each part:

1. For \(3y = 0\): \[ y = 0 \]

2. For \(4 - y = 0\): \[ y = 4 \]

Thus, the solutions to the equation \(3y(4 - y) = 0\) are: \[ y = 0 \quad \text{and} \quad y = 4 \]