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:
x2 + -1kx + (1 + k) = 0

Remove parenthesis around (1 + k)
x2 + -1kx + 1 + k = 0

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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