m^2+m[3m-4]=

Solution for m^2+m[3m-4]= equation:

Simplifying
m2 + m[3m + -4] = 0

Reorder the terms:
m2 + m[-4 + 3m] = 0
m2 + [-4 * m + 3m * m] = 0
m2 + [-4m + 3m2] = 0

Reorder the terms:
-4m + m2 + 3m2 = 0

Combine like terms: m2 + 3m2 = 4m2
-4m + 4m2 = 0

Solving
-4m + 4m2 = 0

Solving for variable 'm'.

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

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

Simplifying
-1 + m = 0

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

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

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

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