10m^3+5m^2+5m=0

Solution for 10m^3+5m^2+5m=0 equation:

Simplifying
10m3 + 5m2 + 5m = 0

Reorder the terms:
5m + 5m2 + 10m3 = 0

Solving
5m + 5m2 + 10m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5m'.
5m(1 + m + 2m2) = 0

Ignore the factor 5.
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 + 2m2)' equal to zero and attempt to solve:

Simplifying
1 + m + 2m2 = 0

Solving
1 + m + 2m2 = 0

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

Divide each side by '2'.
0.5 + 0.5m + m2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + 0.5m + -0.5 + m2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + 0.5m + m2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.5m + m2 = 0 + -0.5
0.5m + m2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
0.5m + m2 = -0.5

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.
0.5m + 0.25 + m2 = -0.5 + 0.25

Reorder the terms:
0.25 + 0.5m + m2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
0.25 + 0.5m + m2 = -0.25

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = -0.25

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}