3m-m^2=2

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

Simplifying
3m + -1m2 = 2

Solving
3m + -1m2 = 2

Solving for variable 'm'.

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

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

Factor a trinomial.
(-2 + m)(1 + -1m) = 0

Subproblem 1
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
Subproblem 2
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 = {2, 1}