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

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


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

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

Reorder the terms for easier multiplication:
x2(1 + K) + 4(k + -2) * x + 2k = 0
(1 * x2 + K * x2) + 4(k + -2) * x + 2k = 0
(1x2 + x2K) + 4(k + -2) * x + 2k = 0

Reorder the terms:
1x2 + x2K + 4(-2 + k) * x + 2k = 0

Reorder the terms for easier multiplication:
1x2 + x2K + 4x(-2 + k) + 2k = 0
1x2 + x2K + (-2 * 4x + k * 4x) + 2k = 0

Reorder the terms:
1x2 + x2K + (4kx + -8x) + 2k = 0
1x2 + x2K + (4kx + -8x) + 2k = 0

Reorder the terms:
2k + 4kx + -8x + 1x2 + x2K = 0

Solving
2k + 4kx + -8x + 1x2 + x2K = 0

Solving for variable 'k'.

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

Add '8x' to each side of the equation.
2k + 4kx + -8x + 1x2 + 8x + x2K = 0 + 8x

Reorder the terms:
2k + 4kx + -8x + 8x + 1x2 + x2K = 0 + 8x

Combine like terms: -8x + 8x = 0
2k + 4kx + 0 + 1x2 + x2K = 0 + 8x
2k + 4kx + 1x2 + x2K = 0 + 8x
Remove the zero:
2k + 4kx + 1x2 + x2K = 8x

Add '-1x2' to each side of the equation.
2k + 4kx + 1x2 + -1x2 + x2K = 8x + -1x2

Combine like terms: 1x2 + -1x2 = 0
2k + 4kx + 0 + x2K = 8x + -1x2
2k + 4kx + x2K = 8x + -1x2

Add '-1x2K' to each side of the equation.
2k + 4kx + x2K + -1x2K = 8x + -1x2 + -1x2K

Combine like terms: x2K + -1x2K = 0
2k + 4kx + 0 = 8x + -1x2 + -1x2K
2k + 4kx = 8x + -1x2 + -1x2K

Reorder the terms:
2k + 4kx + -8x + x2 + x2K = 8x + -8x + -1x2 + x2 + -1x2K + x2K

Combine like terms: 8x + -8x = 0
2k + 4kx + -8x + x2 + x2K = 0 + -1x2 + x2 + -1x2K + x2K
2k + 4kx + -8x + x2 + x2K = -1x2 + x2 + -1x2K + x2K

Combine like terms: -1x2 + x2 = 0
2k + 4kx + -8x + x2 + x2K = 0 + -1x2K + x2K
2k + 4kx + -8x + x2 + x2K = -1x2K + x2K

Combine like terms: -1x2K + x2K = 0
2k + 4kx + -8x + x2 + x2K = 0

The solution to this equation could not be determined.

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