-m^2+4m-6=-2

Solution for -m^2+4m-6=-2 equation:

Simplifying
-1m2 + 4m + -6 = -2

Reorder the terms:
-6 + 4m + -1m2 = -2

Solving
-6 + 4m + -1m2 = -2

Solving for variable 'm'.

Reorder the terms:
-6 + 2 + 4m + -1m2 = -2 + 2

Combine like terms: -6 + 2 = -4
-4 + 4m + -1m2 = -2 + 2

Combine like terms: -2 + 2 = 0
-4 + 4m + -1m2 = 0

Factor a trinomial.
(-2 + m)(2 + -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 '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 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 + -1m = 0 + -2

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

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

Divide each side by '-1'.
m = 2

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