(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

Remove parenthesis around (-2 + k)
1x2 + x2K + 6x + -2 + k = 0

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

Solving
-2 + k + 6x + 1x2 + x2K = 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 + 6x + 1x2 + 2 + x2K = 0 + 2

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

Combine like terms: -2 + 2 = 0
0 + k + 6x + 1x2 + x2K = 0 + 2
k + 6x + 1x2 + x2K = 0 + 2

Combine like terms: 0 + 2 = 2
k + 6x + 1x2 + x2K = 2

Add '-6x' to each side of the equation.
k + 6x + 1x2 + -6x + x2K = 2 + -6x

Reorder the terms:
k + 6x + -6x + 1x2 + x2K = 2 + -6x

Combine like terms: 6x + -6x = 0
k + 0 + 1x2 + x2K = 2 + -6x
k + 1x2 + x2K = 2 + -6x

Add '-1x2' to each side of the equation.
k + 1x2 + -1x2 + x2K = 2 + -6x + -1x2

Combine like terms: 1x2 + -1x2 = 0
k + 0 + x2K = 2 + -6x + -1x2
k + x2K = 2 + -6x + -1x2

Add '-1x2K' to each side of the equation.
k + x2K + -1x2K = 2 + -6x + -1x2 + -1x2K

Combine like terms: x2K + -1x2K = 0
k + 0 = 2 + -6x + -1x2 + -1x2K
k = 2 + -6x + -1x2 + -1x2K

Simplifying
k = 2 + -6x + -1x2 + -1x2K

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