X^2-kx+k-1=0

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


Simplifying
X2 + -1kx + k + -1 = 0

Reorder the terms:
-1 + X2 + k + -1kx = 0

Solving
-1 + X2 + k + -1kx = 0

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + X2 + k + 1 + -1kx = 0 + 1

Reorder the terms:
-1 + 1 + X2 + k + -1kx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + X2 + k + -1kx = 0 + 1
X2 + k + -1kx = 0 + 1

Combine like terms: 0 + 1 = 1
X2 + k + -1kx = 1

Add '-1k' to each side of the equation.
X2 + k + -1k + -1kx = 1 + -1k

Combine like terms: k + -1k = 0
X2 + 0 + -1kx = 1 + -1k
X2 + -1kx = 1 + -1k

Add 'kx' to each side of the equation.
X2 + -1kx + kx = 1 + -1k + kx

Combine like terms: -1kx + kx = 0
X2 + 0 = 1 + -1k + kx
X2 = 1 + -1k + kx

Simplifying
X2 = 1 + -1k + kx

Reorder the terms:
-1 + X2 + k + -1kx = 1 + -1k + kx + -1 + k + -1kx

Reorder the terms:
-1 + X2 + k + -1kx = 1 + -1 + -1k + k + kx + -1kx

Combine like terms: 1 + -1 = 0
-1 + X2 + k + -1kx = 0 + -1k + k + kx + -1kx
-1 + X2 + k + -1kx = -1k + k + kx + -1kx

Combine like terms: -1k + k = 0
-1 + X2 + k + -1kx = 0 + kx + -1kx
-1 + X2 + k + -1kx = kx + -1kx

Combine like terms: kx + -1kx = 0
-1 + X2 + k + -1kx = 0

The solution to this equation could not be determined.

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