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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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