x(x-k)=k+1

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


Simplifying
x(x + -1k) = k + 1

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

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

Solving
-1kx + x2 = 1 + k

Solving for variable 'k'.

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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