24m^3+4m^2=

Solution for 24m^3+4m^2= equation:

Simplifying
24m3 + 4m2 = 0

Reorder the terms:
4m2 + 24m3 = 0

Solving
4m2 + 24m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4m2'.
4m2(1 + 6m) = 0

Ignore the factor 4.
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 + 6m)' equal to zero and attempt to solve:

Simplifying
1 + 6m = 0

Solving
1 + 6m = 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 + 6m = 0 + -1

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

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

Divide each side by '6'.
m = -0.1666666667

Simplifying
m = -0.1666666667
Solution
m = {0, -0.1666666667}