m^3+m^2(2m-1)=

Solution for m^3+m^2(2m-1)= equation:

Simplifying
m3 + m2(2m + -1) = 0

Reorder the terms:
m3 + m2(-1 + 2m) = 0
m3 + (-1 * m2 + 2m * m2) = 0
m3 + (-1m2 + 2m3) = 0

Reorder the terms:
-1m2 + m3 + 2m3 = 0

Combine like terms: m3 + 2m3 = 3m3
-1m2 + 3m3 = 0

Solving
-1m2 + 3m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(-1 + 3m) = 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 + 3m)' equal to zero and attempt to solve:

Simplifying
-1 + 3m = 0

Solving
-1 + 3m = 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 + 3m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3m = 0 + 1
3m = 0 + 1

Combine like terms: 0 + 1 = 1
3m = 1

Divide each side by '3'.
m = 0.3333333333

Simplifying
m = 0.3333333333
Solution
m = {0, 0.3333333333}