(K-2)x*x-(3*K+6)*x+6*K=0

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Solution for (K-2)x*x-(3*K+6)*x+6*K=0 equation: 


Simplifying
(K + -2) * x * x + -1(3K + 6) * x + 6K = 0

Reorder the terms:
(-2 + K) * x * x + -1(3K + 6) * x + 6K = 0

Reorder the terms for easier multiplication:
x * x(-2 + K) + -1(3K + 6) * x + 6K = 0

Multiply x * x
x2(-2 + K) + -1(3K + 6) * x + 6K = 0
(-2 * x2 + K * x2) + -1(3K + 6) * x + 6K = 0
(-2x2 + x2K) + -1(3K + 6) * x + 6K = 0

Reorder the terms:
-2x2 + x2K + -1(6 + 3K) * x + 6K = 0

Reorder the terms for easier multiplication:
-2x2 + x2K + -1x(6 + 3K) + 6K = 0
-2x2 + x2K + (6 * -1x + 3K * -1x) + 6K = 0
-2x2 + x2K + (-6x + -3xK) + 6K = 0

Reorder the terms:
6K + -6x + -3xK + -2x2 + x2K = 0

Solving
6K + -6x + -3xK + -2x2 + x2K = 0

Solving for variable 'K'.

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

Add '6x' to each side of the equation.
6K + -6x + -3xK + -2x2 + 6x + x2K = 0 + 6x

Reorder the terms:
6K + -6x + 6x + -3xK + -2x2 + x2K = 0 + 6x

Combine like terms: -6x + 6x = 0
6K + 0 + -3xK + -2x2 + x2K = 0 + 6x
6K + -3xK + -2x2 + x2K = 0 + 6x
Remove the zero:
6K + -3xK + -2x2 + x2K = 6x

Add '2x2' to each side of the equation.
6K + -3xK + -2x2 + 2x2 + x2K = 6x + 2x2

Combine like terms: -2x2 + 2x2 = 0
6K + -3xK + 0 + x2K = 6x + 2x2
6K + -3xK + x2K = 6x + 2x2

Reorder the terms:
6K + -6x + -3xK + -2x2 + x2K = 6x + 2x2 + -6x + -2x2

Reorder the terms:
6K + -6x + -3xK + -2x2 + x2K = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
6K + -6x + -3xK + -2x2 + x2K = 0 + 2x2 + -2x2
6K + -6x + -3xK + -2x2 + x2K = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6K + -6x + -3xK + -2x2 + x2K = 0

The solution to this equation could not be determined.

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