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

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

Simplifying
3m(2m + -2) + m2 = 0

Reorder the terms:
3m(-2 + 2m) + m2 = 0
(-2 * 3m + 2m * 3m) + m2 = 0
(-6m + 6m2) + m2 = 0

Combine like terms: 6m2 + m2 = 7m2
-6m + 7m2 = 0

Solving
-6m + 7m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-6 + 7m) = 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 '(-6 + 7m)' equal to zero and attempt to solve:

Simplifying
-6 + 7m = 0

Solving
-6 + 7m = 0

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

Add '6' to each side of the equation.
-6 + 6 + 7m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7m = 0 + 6
7m = 0 + 6

Combine like terms: 0 + 6 = 6
7m = 6

Divide each side by '7'.
m = 0.8571428571

Simplifying
m = 0.8571428571
Solution
m = {0, 0.8571428571}