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

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

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

Remove parenthesis around (1 + -2k)
x2 + 1 + -2k + -2k = 0

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

Combine like terms: -2k + -2k = -4k
1 + -4k + x2 = 0

Solving
1 + -4k + 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 + -4k + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -4k + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4k + x2 = 0 + -1
-4k + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-4k + x2 = -1

Add '-1x2' to each side of the equation.
-4k + x2 + -1x2 = -1 + -1x2

Combine like terms: x2 + -1x2 = 0
-4k + 0 = -1 + -1x2
-4k = -1 + -1x2

Divide each side by '-4'.
k = 0.25 + 0.25x2

Simplifying
k = 0.25 + 0.25x2