-m(4-8m+2)=0

Solution for -m(4-8m+2)=0 equation:

Simplifying
-1m(4 + -8m + 2) = 0

Reorder the terms:
-1m(4 + 2 + -8m) = 0

Combine like terms: 4 + 2 = 6
-1m(6 + -8m) = 0
(6 * -1m + -8m * -1m) = 0
(-6m + 8m2) = 0

Solving
-6m + 8m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(-3 + 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 '(-3 + 4m)' equal to zero and attempt to solve:

Simplifying
-3 + 4m = 0

Solving
-3 + 4m = 0

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

Add '3' to each side of the equation.
-3 + 3 + 4m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4m = 0 + 3
4m = 0 + 3

Combine like terms: 0 + 3 = 3
4m = 3

Divide each side by '4'.
m = 0.75

Simplifying
m = 0.75
Solution
m = {0, 0.75}