4m^2(8m-2)=

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

Simplifying
4m2(8m + -2) = 0

Reorder the terms:
4m2(-2 + 8m) = 0
(-2 * 4m2 + 8m * 4m2) = 0
(-8m2 + 32m3) = 0

Solving
-8m2 + 32m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '8m2'.
8m2(-1 + 4m) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve:

Simplifying
m2 = 0

Solving
m2 = 0

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

Simplifying
m2 = 0

Take the square root of each side:
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}