(8x^2)-2x=0

Solution for (8x^2)-2x=0 equation:

Simplifying
(8x2) + -2x = 0

Reorder the terms:
-2x + (8x2) = 0

Solving
-2x + (8x2) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1 + (4x)) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-1 + (4x))' equal to zero and attempt to solve:

Simplifying
-1 + (4x) = 0

Solving
-1 + (4x) = 0

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

Add '1' to each side of the equation.
-1 + 1 + (4x) = 0 + 1

Combine like terms: -1 + 1 = 0
0 + (4x) = 0 + 1
(4x) = 0 + 1

Combine like terms: 0 + 1 = 1
(4x) = 1

Divide each side by '4'.
x = 0.25

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