m^3-m^2+6m=0

Solution for m^3-m^2+6m=0 equation:

Simplifying
m3 + -1m2 + 6m = 0

Reorder the terms:
6m + -1m2 + m3 = 0

Solving
6m + -1m2 + m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(6 + -1m + m2) = 0

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 '(6 + -1m + m2)' equal to zero and attempt to solve:

Simplifying
6 + -1m + m2 = 0

Solving
6 + -1m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -1m + -6 + m2 = 0 + -6

Reorder the terms:
6 + -6 + -1m + m2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m + m2 = 0 + -6
-1m + m2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1m + m2 = -6

The m term is -1m.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1m + 0.25 + m2 = -6 + 0.25

Reorder the terms:
0.25 + -1m + m2 = -6 + 0.25

Combine like terms: -6 + 0.25 = -5.75
0.25 + -1m + m2 = -5.75

Factor a perfect square on the left side:
(m + -0.5)(m + -0.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}