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

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

Simplifying
-1m(4m3 + -8m2 + m) = 0

Reorder the terms:
-1m(m + -8m2 + 4m3) = 0
(m * -1m + -8m2 * -1m + 4m3 * -1m) = 0
(-1m2 + 8m3 + -4m4) = 0

Solving
-1m2 + 8m3 + -4m4 = 0

Solving for variable 'm'.

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

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 + 8m + -4m2)' equal to zero and attempt to solve:

Simplifying
-1 + 8m + -4m2 = 0

Solving
-1 + 8m + -4m2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
0.25 + -2m + m2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -2m + -0.25 + m2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -2m + m2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -2m + m2 = 0 + -0.25
-2m + m2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-2m + m2 = -0.25

The m term is -2m.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2m + 1 + m2 = -0.25 + 1

Reorder the terms:
1 + -2m + m2 = -0.25 + 1

Combine like terms: -0.25 + 1 = 0.75
1 + -2m + m2 = 0.75

Factor a perfect square on the left side:
(m + -1)(m + -1) = 0.75

Calculate the square root of the right side: 0.866025404

Break this problem into two subproblems by setting 
(m + -1) equal to 0.866025404 and -0.866025404.

Subproblem 1
m + -1 = 0.866025404

Simplifying
m + -1 = 0.866025404

Reorder the terms:
-1 + m = 0.866025404

Solving
-1 + m = 0.866025404

Solving for variable 'm'.

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 = 0.866025404 + 1

Combine like terms: -1 + 1 = 0
0 + m = 0.866025404 + 1
m = 0.866025404 + 1

Combine like terms: 0.866025404 + 1 = 1.866025404
m = 1.866025404

Simplifying
m = 1.866025404

Subproblem 2
m + -1 = -0.866025404

Simplifying
m + -1 = -0.866025404

Reorder the terms:
-1 + m = -0.866025404

Solving
-1 + m = -0.866025404

Solving for variable 'm'.

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 = -0.866025404 + 1

Combine like terms: -1 + 1 = 0
0 + m = -0.866025404 + 1
m = -0.866025404 + 1

Combine like terms: -0.866025404 + 1 = 0.133974596
m = 0.133974596

Simplifying
m = 0.133974596

Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {1.866025404, 0.133974596}
Solution
m = {0, 1.866025404, 0.133974596}