=4m^3-8m^2+4m

Solution for =4m^3-8m^2+4m equation:

Simplifying
0 = 4m3 + -8m2 + 4m

Reorder the terms:
0 = 4m + -8m2 + 4m3

Solving
0 = 4m + -8m2 + 4m3

Solving for variable 'm'.
Remove the zero:
-4m + 8m2 + -4m3 = 4m + -8m2 + 4m3 + -4m + 8m2 + -4m3

Reorder the terms:
-4m + 8m2 + -4m3 = 4m + -4m + -8m2 + 8m2 + 4m3 + -4m3

Combine like terms: 4m + -4m = 0
-4m + 8m2 + -4m3 = 0 + -8m2 + 8m2 + 4m3 + -4m3
-4m + 8m2 + -4m3 = -8m2 + 8m2 + 4m3 + -4m3

Combine like terms: -8m2 + 8m2 = 0
-4m + 8m2 + -4m3 = 0 + 4m3 + -4m3
-4m + 8m2 + -4m3 = 4m3 + -4m3

Combine like terms: 4m3 + -4m3 = 0
-4m + 8m2 + -4m3 = 0

Factor out the Greatest Common Factor (GCF), '4m'.
4m(-1 + 2m + -1m2) = 0

Factor a trinomial.
4m((-1 + m)(1 + -1m)) = 0

Ignore the factor 4.
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 + m)' equal to zero and attempt to solve:

Simplifying
-1 + m = 0

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

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

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

Simplifying
m = 1
Subproblem 3
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

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

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

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

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Solution
m = {0, 1, 1}