16m^3=0m^2+m

Solution for 16m^3=0m^2+m equation:

Simplifying
16m3 = 0m2 + m

Anything times zero is zero.
16m3 = 0m2 + m
Remove the zero:
16m3 = m

Solving
16m3 = m

Solving for variable 'm'.

Reorder the terms:
-1m + 16m3 = m + -1m

Combine like terms: m + -1m = 0
-1m + 16m3 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-1 + 16m2) = 0

Factor a difference between two squares.
m((1 + 4m)(-1 + 4m)) = 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 '(1 + 4m)' equal to zero and attempt to solve:

Simplifying
1 + 4m = 0

Solving
1 + 4m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 4m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4m = 0 + -1
4m = 0 + -1

Combine like terms: 0 + -1 = -1
4m = -1

Divide each side by '4'.
m = -0.25

Simplifying
m = -0.25
Subproblem 3
Set the factor '(-1 + 4m)' equal to zero and attempt to solve:

Simplifying
-1 + 4m = 0

Solving
-1 + 4m = 0

Move all terms containing m to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + 4m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4m = 0 + 1
4m = 0 + 1

Combine like terms: 0 + 1 = 1
4m = 1

Divide each side by '4'.
m = 0.25

Simplifying
m = 0.25
Solution
m = {0, -0.25, 0.25}