(k-2)x^2-(3k+6)x+6k=0

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Solution for (k-2)x^2-(3k+6)x+6k=0 equation: 


Simplifying
(k + -2) * x2 + -1(3k + 6) * x + 6k = 0

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

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

Reorder the terms:
(kx2 + -2x2) + -1(3k + 6) * x + 6k = 0
(kx2 + -2x2) + -1(3k + 6) * x + 6k = 0

Reorder the terms:
kx2 + -2x2 + -1(6 + 3k) * x + 6k = 0

Reorder the terms for easier multiplication:
kx2 + -2x2 + -1x(6 + 3k) + 6k = 0
kx2 + -2x2 + (6 * -1x + 3k * -1x) + 6k = 0

Reorder the terms:
kx2 + -2x2 + (-3kx + -6x) + 6k = 0
kx2 + -2x2 + (-3kx + -6x) + 6k = 0

Reorder the terms:
6k + -3kx + kx2 + -6x + -2x2 = 0

Solving
6k + -3kx + kx2 + -6x + -2x2 = 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 + -3kx + kx2 + -6x + 6x + -2x2 = 0 + 6x

Combine like terms: -6x + 6x = 0
6k + -3kx + kx2 + 0 + -2x2 = 0 + 6x
6k + -3kx + kx2 + -2x2 = 0 + 6x
Remove the zero:
6k + -3kx + kx2 + -2x2 = 6x

Add '2x2' to each side of the equation.
6k + -3kx + kx2 + -2x2 + 2x2 = 6x + 2x2

Combine like terms: -2x2 + 2x2 = 0
6k + -3kx + kx2 + 0 = 6x + 2x2
6k + -3kx + kx2 = 6x + 2x2

Reorder the terms:
6k + -3kx + kx2 + -6x + -2x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
6k + -3kx + kx2 + -6x + -2x2 = 0 + 2x2 + -2x2
6k + -3kx + kx2 + -6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6k + -3kx + kx2 + -6x + -2x2 = 0

The solution to this equation could not be determined.

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