x^2-2x-1=-1

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

Simplifying
x2 + -2x + -1 = -1

Reorder the terms:
-1 + -2x + x2 = -1

Add '1' to each side of the equation.
-1 + -2x + 1 + x2 = -1 + 1

Reorder the terms:
-1 + 1 + -2x + x2 = -1 + 1

Combine like terms: -1 + 1 = 0
0 + -2x + x2 = -1 + 1
-2x + x2 = -1 + 1

Combine like terms: -1 + 1 = 0
-2x + x2 = 0

Solving
-2x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

Add '2' to each side of the equation.
-2 + 2 + x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x = 0 + 2
x = 0 + 2

Combine like terms: 0 + 2 = 2
x = 2

Simplifying
x = 2
Solution
x = {0, 2}