m^2-2m-1=-2

Solution for m^2-2m-1=-2 equation:

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

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

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

Solving for variable 'm'.

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

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

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

Factor a trinomial.
(1 + -1m)(1 + -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 '(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 = {1, 1}