16m^3+6m^2+4m=

Solution for 16m^3+6m^2+4m= equation:

Simplifying
16m3 + 6m2 + 4m = 0

Reorder the terms:
4m + 6m2 + 16m3 = 0

Solving
4m + 6m2 + 16m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(2 + 3m + 8m2) = 0

Ignore the factor 2.
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 '(2 + 3m + 8m2)' equal to zero and attempt to solve:

Simplifying
2 + 3m + 8m2 = 0

Solving
2 + 3m + 8m2 = 0

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

Divide each side by '8'.
0.25 + 0.375m + m2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + 0.375m + -0.25 + m2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + 0.375m + m2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 0.375m + m2 = 0 + -0.25
0.375m + m2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
0.375m + m2 = -0.25

The m term is 0.375m.  Take half its coefficient (0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
0.375m + 0.03515625 + m2 = -0.25 + 0.03515625

Reorder the terms:
0.03515625 + 0.375m + m2 = -0.25 + 0.03515625

Combine like terms: -0.25 + 0.03515625 = -0.21484375
0.03515625 + 0.375m + m2 = -0.21484375

Factor a perfect square on the left side:
(m + 0.1875)(m + 0.1875) = -0.21484375

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}