(K+1)x^2+6x(k-2)=0

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Solution for (K+1)x^2+6x(k-2)=0 equation: 


Simplifying
(K + 1) * x2 + 6x(k + -2) = 0

Reorder the terms:
(1 + K) * x2 + 6x(k + -2) = 0

Reorder the terms for easier multiplication:
x2(1 + K) + 6x(k + -2) = 0
(1 * x2 + K * x2) + 6x(k + -2) = 0
(1x2 + x2K) + 6x(k + -2) = 0

Reorder the terms:
1x2 + x2K + 6x(-2 + k) = 0
1x2 + x2K + (-2 * 6x + k * 6x) = 0

Reorder the terms:
1x2 + x2K + (6kx + -12x) = 0
1x2 + x2K + (6kx + -12x) = 0

Reorder the terms:
6kx + -12x + 1x2 + x2K = 0

Solving
6kx + -12x + 1x2 + x2K = 0

Solving for variable 'k'.

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

Add '12x' to each side of the equation.
6kx + -12x + 1x2 + 12x + x2K = 0 + 12x

Reorder the terms:
6kx + -12x + 12x + 1x2 + x2K = 0 + 12x

Combine like terms: -12x + 12x = 0
6kx + 0 + 1x2 + x2K = 0 + 12x
6kx + 1x2 + x2K = 0 + 12x
Remove the zero:
6kx + 1x2 + x2K = 12x

Add '-1x2' to each side of the equation.
6kx + 1x2 + -1x2 + x2K = 12x + -1x2

Combine like terms: 1x2 + -1x2 = 0
6kx + 0 + x2K = 12x + -1x2
6kx + x2K = 12x + -1x2

Add '-1x2K' to each side of the equation.
6kx + x2K + -1x2K = 12x + -1x2 + -1x2K

Combine like terms: x2K + -1x2K = 0
6kx + 0 = 12x + -1x2 + -1x2K
6kx = 12x + -1x2 + -1x2K

Divide each side by '6x'.
k = 2 + -0.1666666667x + -0.1666666667xK

Simplifying
k = 2 + -0.1666666667x + -0.1666666667xK

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