0,5у•0, 5у-у=0

To solve the equation 0.5y • 0.5y - y = 0, we can follow these steps:

Step 1: Simplify the expression within the parentheses on the left side. 0.5y • 0.5y simplifies to 0.25y².

Step 2: Rewrite the equation with the simplified expression. 0.25y² - y = 0

Step 3: Set the equation equal to zero. 0.25y² - y = 0

Step 4: Rearrange the equation to form a quadratic equation. 0.25y² - y = 0 0.25y² = y

Step 5: Set the equation equal to zero by subtracting y from both sides. 0.25y² - y = 0 0.25y² - y - 0 = 0 0.25y² - y = 0

Step 6: Factor out the common factor, y, from the equation. y(0.25y - 1) = 0

Step 7: Set each factor equal to zero and solve for y. y = 0 or 0.25y - 1 = 0

In the second equation, add 1 to both sides. 0.25y - 1 + 1 = 0 + 1 0.25y = 1

Then, divide both sides by 0.25. (0.25y) / 0.25 = 1 / 0.25 y = 4

So the solutions to the equation are y = 0 and y = 4.