x^2-2k+k-1=0

Solution for x^2-2k+k-1=0 equation:

Simplifying
x2 + -2k + k + -1 = 0

Reorder the terms:
-1 + -2k + k + x2 = 0

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

Solving
-1 + -1k + x2 = 0

Solving for variable 'k'.

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

Add '1' to each side of the equation.
-1 + -1k + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + -1k + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1k + x2 = 0 + 1
-1k + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-1k + x2 = 1

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

Combine like terms: x2 + -1x2 = 0
-1k + 0 = 1 + -1x2
-1k = 1 + -1x2

Divide each side by '-1'.
k = -1 + x2

Simplifying
k = -1 + x2