m^2-2m+6=6

Solution for m^2-2m+6=6 equation:

Simplifying
m2 + -2m + 6 = 6

Reorder the terms:
6 + -2m + m2 = 6

Add '-6' to each side of the equation.
6 + -2m + -6 + m2 = 6 + -6

Reorder the terms:
6 + -6 + -2m + m2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + -2m + m2 = 6 + -6
-2m + m2 = 6 + -6

Combine like terms: 6 + -6 = 0
-2m + m2 = 0

Solving
-2m + m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-2 + m) = 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 '(-2 + m)' equal to zero and attempt to solve:

Simplifying
-2 + m = 0

Solving
-2 + m = 0

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

Add '2' to each side of the equation.
-2 + 2 + m = 0 + 2

Combine like terms: -2 + 2 = 0
0 + m = 0 + 2
m = 0 + 2

Combine like terms: 0 + 2 = 2
m = 2

Simplifying
m = 2
Solution
m = {0, 2}