8y^2-2y=0

Solution for 8y^2-2y=0 equation:

Simplifying
8y2 + -2y = 0

Reorder the terms:
-2y + 8y2 = 0

Solving
-2y + 8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-1 + 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 '(-1 + 4y)' equal to zero and attempt to solve:

Simplifying
-1 + 4y = 0

Solving
-1 + 4y = 0

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

Add '1' to each side of the equation.
-1 + 1 + 4y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4y = 0 + 1
4y = 0 + 1

Combine like terms: 0 + 1 = 1
4y = 1

Divide each side by '4'.
y = 0.25

Simplifying
y = 0.25
Solution
y = {0, 0.25}