2m[m-3(2+m)]=

Solution for 2m[m-3(2+m)]= equation:

Simplifying
2m[m + -3(2 + m)] = 0
2m[m + (2 * -3 + m * -3)] = 0
2m[m + (-6 + -3m)] = 0

Reorder the terms:
2m[-6 + m + -3m] = 0

Combine like terms: m + -3m = -2m
2m[-6 + -2m] = 0
[-6 * 2m + -2m * 2m] = 0
[-12m + -4m2] = 0

Solving
-12m + -4m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '-4m'.
-4m(3 + 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 '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 0

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

Add '-3' to each side of the equation.
3 + -3 + m = 0 + -3

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

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

Simplifying
m = -3
Solution
m = {0, -3}