m^2(3m-2)=m

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

Simplifying
m2(3m + -2) = m

Reorder the terms:
m2(-2 + 3m) = m
(-2 * m2 + 3m * m2) = m
(-2m2 + 3m3) = m

Solving
-2m2 + 3m3 = m

Solving for variable 'm'.

Reorder the terms:
-1m + -2m2 + 3m3 = m + -1m

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

Factor out the Greatest Common Factor (GCF), 'm'.
m(-1 + -2m + 3m2) = 0

Factor a trinomial.
m((-1 + -3m)(1 + -1m)) = 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 + -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
Subproblem 3
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

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

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

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

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Solution
m = {0, -0.3333333333, 1}