2y(4y-5)=0

Solution for 2y(4y-5)=0 equation:

Simplifying
2y(4y + -5) = 0

Reorder the terms:
2y(-5 + 4y) = 0
(-5 * 2y + 4y * 2y) = 0
(-10y + 8y2) = 0

Solving
-10y + 8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-5 + 4y) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0
Subproblem 2
Set the factor '(-5 + 4y)' equal to zero and attempt to solve:

Simplifying
-5 + 4y = 0

Solving
-5 + 4y = 0

Move all terms containing y to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + 4y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4y = 0 + 5
4y = 0 + 5

Combine like terms: 0 + 5 = 5
4y = 5

Divide each side by '4'.
y = 1.25

Simplifying
y = 1.25
Solution
y = {0, 1.25}