m^2-2m-6=2

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

Simplifying
m2 + -2m + -6 = 2

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

Solving
-6 + -2m + m2 = 2

Solving for variable 'm'.

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

Combine like terms: -6 + -2 = -8
-8 + -2m + m2 = 2 + -2

Combine like terms: 2 + -2 = 0
-8 + -2m + m2 = 0

Factor a trinomial.
(-2 + -1m)(4 + -1m) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve:

Simplifying
4 + -1m = 0

Solving
4 + -1m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1m = 0 + -4

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

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

Divide each side by '-1'.
m = 4

Simplifying
m = 4
Solution
m = {-2, 4}