m^4+m^3+m^2=0

Solution for m^4+m^3+m^2=0 equation:

Simplifying
m4 + m3 + m2 = 0

Reorder the terms:
m2 + m3 + m4 = 0

Solving
m2 + m3 + m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(1 + m + m2) = 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 + m + m2)' equal to zero and attempt to solve:

Simplifying
1 + m + m2 = 0

Solving
1 + m + m2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The m term is m.  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.
m + 0.25 + m2 = -1 + 0.25

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

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

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = -0.75

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}