8m^2-2m=0

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

Simplifying
8m2 + -2m = 0

Reorder the terms:
-2m + 8m2 = 0

Solving
-2m + 8m2 = 0

Solving for variable 'm'.

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

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

Simplifying
m = 0

Solving
m = 0

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

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

Simplifying
-1 + 4m = 0

Solving
-1 + 4m = 0

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

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

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

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

Divide each side by '4'.
m = 0.25

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