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

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


Simplifying
(k + -1) * x2 + (k + -1) * x + 1 = 0

Reorder the terms:
(-1 + k) * x2 + (k + -1) * x + 1 = 0

Reorder the terms for easier multiplication:
x2(-1 + k) + (k + -1) * x + 1 = 0
(-1 * x2 + k * x2) + (k + -1) * x + 1 = 0

Reorder the terms:
(kx2 + -1x2) + (k + -1) * x + 1 = 0
(kx2 + -1x2) + (k + -1) * x + 1 = 0

Reorder the terms:
kx2 + -1x2 + (-1 + k) * x + 1 = 0

Reorder the terms for easier multiplication:
kx2 + -1x2 + x(-1 + k) + 1 = 0
kx2 + -1x2 + (-1 * x + k * x) + 1 = 0

Reorder the terms:
kx2 + -1x2 + (kx + -1x) + 1 = 0
kx2 + -1x2 + (kx + -1x) + 1 = 0

Reorder the terms:
1 + kx + kx2 + -1x + -1x2 = 0

Solving
1 + kx + kx2 + -1x + -1x2 = 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 + kx + kx2 + -1x + -1 + -1x2 = 0 + -1

Reorder the terms:
1 + -1 + kx + kx2 + -1x + -1x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + kx + kx2 + -1x + -1x2 = 0 + -1
kx + kx2 + -1x + -1x2 = 0 + -1

Combine like terms: 0 + -1 = -1
kx + kx2 + -1x + -1x2 = -1

Add 'x' to each side of the equation.
kx + kx2 + -1x + x + -1x2 = -1 + x

Combine like terms: -1x + x = 0
kx + kx2 + 0 + -1x2 = -1 + x
kx + kx2 + -1x2 = -1 + x

Add 'x2' to each side of the equation.
kx + kx2 + -1x2 + x2 = -1 + x + x2

Combine like terms: -1x2 + x2 = 0
kx + kx2 + 0 = -1 + x + x2
kx + kx2 = -1 + x + x2

Reorder the terms:
1 + kx + kx2 + -1x + -1x2 = -1 + x + x2 + 1 + -1x + -1x2

Reorder the terms:
1 + kx + kx2 + -1x + -1x2 = -1 + 1 + x + -1x + x2 + -1x2

Combine like terms: -1 + 1 = 0
1 + kx + kx2 + -1x + -1x2 = 0 + x + -1x + x2 + -1x2
1 + kx + kx2 + -1x + -1x2 = x + -1x + x2 + -1x2

Combine like terms: x + -1x = 0
1 + kx + kx2 + -1x + -1x2 = 0 + x2 + -1x2
1 + kx + kx2 + -1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1 + kx + kx2 + -1x + -1x2 = 0

The solution to this equation could not be determined.

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