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

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


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

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

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

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

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

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

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

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

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

Solving for variable 'k'.

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

Add '-2x' to each side of the equation.
2k + -3kx + kx2 + 2x + -2x + -2x2 = 0 + -2x

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

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

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

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

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

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

The solution to this equation could not be determined.

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