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

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


Simplifying
(k + -1) * x2 + -2(k + 1) * x + k + 2 = 0

Reorder the terms:
(-1 + k) * x2 + -2(k + 1) * x + k + 2 = 0

Reorder the terms for easier multiplication:
x2(-1 + k) + -2(k + 1) * x + k + 2 = 0
(-1 * x2 + k * x2) + -2(k + 1) * x + k + 2 = 0

Reorder the terms:
(kx2 + -1x2) + -2(k + 1) * x + k + 2 = 0
(kx2 + -1x2) + -2(k + 1) * x + k + 2 = 0

Reorder the terms:
kx2 + -1x2 + -2(1 + k) * x + k + 2 = 0

Reorder the terms for easier multiplication:
kx2 + -1x2 + -2x(1 + k) + k + 2 = 0
kx2 + -1x2 + (1 * -2x + k * -2x) + k + 2 = 0

Reorder the terms:
kx2 + -1x2 + (-2kx + -2x) + k + 2 = 0
kx2 + -1x2 + (-2kx + -2x) + k + 2 = 0

Reorder the terms:
2 + k + -2kx + kx2 + -2x + -1x2 = 0

Solving
2 + k + -2kx + kx2 + -2x + -1x2 = 0

Solving for variable 'k'.

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

Add '-2' to each side of the equation.
2 + k + -2kx + kx2 + -2x + -2 + -1x2 = 0 + -2

Reorder the terms:
2 + -2 + k + -2kx + kx2 + -2x + -1x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + k + -2kx + kx2 + -2x + -1x2 = 0 + -2
k + -2kx + kx2 + -2x + -1x2 = 0 + -2

Combine like terms: 0 + -2 = -2
k + -2kx + kx2 + -2x + -1x2 = -2

Add '2x' to each side of the equation.
k + -2kx + kx2 + -2x + 2x + -1x2 = -2 + 2x

Combine like terms: -2x + 2x = 0
k + -2kx + kx2 + 0 + -1x2 = -2 + 2x
k + -2kx + kx2 + -1x2 = -2 + 2x

Add 'x2' to each side of the equation.
k + -2kx + kx2 + -1x2 + x2 = -2 + 2x + x2

Combine like terms: -1x2 + x2 = 0
k + -2kx + kx2 + 0 = -2 + 2x + x2
k + -2kx + kx2 = -2 + 2x + x2

Reorder the terms:
2 + k + -2kx + kx2 + -2x + -1x2 = -2 + 2x + x2 + 2 + -2x + -1x2

Reorder the terms:
2 + k + -2kx + kx2 + -2x + -1x2 = -2 + 2 + 2x + -2x + x2 + -1x2

Combine like terms: -2 + 2 = 0
2 + k + -2kx + kx2 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
2 + k + -2kx + kx2 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
2 + k + -2kx + kx2 + -2x + -1x2 = 0 + x2 + -1x2
2 + k + -2kx + kx2 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + k + -2kx + kx2 + -2x + -1x2 = 0

The solution to this equation could not be determined.

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