x^2-2(k+1)x+4k=0

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Solution for x^2-2(k+1)x+4k=0 equation: 


Simplifying
x2 + -2(k + 1) * x + 4k = 0

Reorder the terms:
x2 + -2(1 + k) * x + 4k = 0

Reorder the terms for easier multiplication:
x2 + -2x(1 + k) + 4k = 0
x2 + (1 * -2x + k * -2x) + 4k = 0

Reorder the terms:
x2 + (-2kx + -2x) + 4k = 0
x2 + (-2kx + -2x) + 4k = 0

Reorder the terms:
4k + -2kx + -2x + x2 = 0

Solving
4k + -2kx + -2x + x2 = 0

Solving for variable 'k'.

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

Add '2x' to each side of the equation.
4k + -2kx + -2x + 2x + x2 = 0 + 2x

Combine like terms: -2x + 2x = 0
4k + -2kx + 0 + x2 = 0 + 2x
4k + -2kx + x2 = 0 + 2x
Remove the zero:
4k + -2kx + x2 = 2x

Add '-1x2' to each side of the equation.
4k + -2kx + x2 + -1x2 = 2x + -1x2

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

Reorder the terms:
4k + -2kx + -2x + x2 = 2x + -2x + -1x2 + x2

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

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

The solution to this equation could not be determined.

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