m(4m-2)=0

Solution for m(4m-2)=0 equation:

Simplifying
m(4m + -2) = 0

Reorder the terms:
m(-2 + 4m) = 0
(-2 * m + 4m * m) = 0
(-2m + 4m2) = 0

Solving
-2m + 4m2 = 0

Solving for variable 'm'.

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

Simplifying
-1 + 2m = 0

Solving
-1 + 2m = 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 + 2m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2m = 0 + 1
2m = 0 + 1

Combine like terms: 0 + 1 = 1
2m = 1

Divide each side by '2'.
m = 0.5

Simplifying
m = 0.5
Solution
m = {0, 0.5}