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

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

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

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

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

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

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

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

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

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

Combine like terms: 1x + -1x = 0
-1k + -1kx + 0 + x2 = 0 + -1x
-1k + -1kx + x2 = 0 + -1x
Remove the zero:
-1k + -1kx + x2 = -1x

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

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

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

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

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

The solution to this equation could not be determined.