m^2-2m-6=-3

Solution for m^2-2m-6=-3 equation:

Simplifying
m2 + -2m + -6 = -3

Reorder the terms:
-6 + -2m + m2 = -3

Solving
-6 + -2m + m2 = -3

Solving for variable 'm'.

Reorder the terms:
-6 + 3 + -2m + m2 = -3 + 3

Combine like terms: -6 + 3 = -3
-3 + -2m + m2 = -3 + 3

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

Factor a trinomial.
(-1 + -1m)(3 + -1m) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 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 + -1m = 0 + -3

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

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

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-1, 3}