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

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


Simplifying
x2 + -1kx + -1x + k + -1 = 0

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

Solving
-1 + k + -1kx + -1x + 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 + k + -1kx + -1x + 1 + x2 = 0 + 1

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

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

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

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

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

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

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

Reorder the terms:
-1 + k + -1kx + -1x + x2 = 1 + x + -1x2 + -1 + -1x + x2

Reorder the terms:
-1 + k + -1kx + -1x + x2 = 1 + -1 + x + -1x + -1x2 + x2

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

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

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

The solution to this equation could not be determined.

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