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

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


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

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

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

Reorder the terms:
(2kx2 + 2x2) + 4x + -4kx + k + -2 = 0
(2kx2 + 2x2) + 4x + -4kx + k + -2 = 0

Reorder the terms:
-2 + k + -4kx + 2kx2 + 4x + 2x2 = 0

Solving
-2 + k + -4kx + 2kx2 + 4x + 2x2 = 0

Solving for variable 'k'.

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

Add '2' to each side of the equation.
-2 + k + -4kx + 2kx2 + 4x + 2 + 2x2 = 0 + 2

Reorder the terms:
-2 + 2 + k + -4kx + 2kx2 + 4x + 2x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + k + -4kx + 2kx2 + 4x + 2x2 = 0 + 2
k + -4kx + 2kx2 + 4x + 2x2 = 0 + 2

Combine like terms: 0 + 2 = 2
k + -4kx + 2kx2 + 4x + 2x2 = 2

Add '-4x' to each side of the equation.
k + -4kx + 2kx2 + 4x + -4x + 2x2 = 2 + -4x

Combine like terms: 4x + -4x = 0
k + -4kx + 2kx2 + 0 + 2x2 = 2 + -4x
k + -4kx + 2kx2 + 2x2 = 2 + -4x

Add '-2x2' to each side of the equation.
k + -4kx + 2kx2 + 2x2 + -2x2 = 2 + -4x + -2x2

Combine like terms: 2x2 + -2x2 = 0
k + -4kx + 2kx2 + 0 = 2 + -4x + -2x2
k + -4kx + 2kx2 = 2 + -4x + -2x2

Reorder the terms:
-2 + k + -4kx + 2kx2 + 4x + 2x2 = 2 + -4x + -2x2 + -2 + 4x + 2x2

Reorder the terms:
-2 + k + -4kx + 2kx2 + 4x + 2x2 = 2 + -2 + -4x + 4x + -2x2 + 2x2

Combine like terms: 2 + -2 = 0
-2 + k + -4kx + 2kx2 + 4x + 2x2 = 0 + -4x + 4x + -2x2 + 2x2
-2 + k + -4kx + 2kx2 + 4x + 2x2 = -4x + 4x + -2x2 + 2x2

Combine like terms: -4x + 4x = 0
-2 + k + -4kx + 2kx2 + 4x + 2x2 = 0 + -2x2 + 2x2
-2 + k + -4kx + 2kx2 + 4x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-2 + k + -4kx + 2kx2 + 4x + 2x2 = 0

The solution to this equation could not be determined.

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