(k-2)*x^2+2*(2k-3)*x+4k+2=0

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Solution for (k-2)*x^2+2*(2k-3)*x+4k+2=0 equation: 


Simplifying
(k + -2) * x2 + 2(2k + -3) * x + 4k + 2 = 0

Reorder the terms:
(-2 + k) * x2 + 2(2k + -3) * x + 4k + 2 = 0

Reorder the terms for easier multiplication:
x2(-2 + k) + 2(2k + -3) * x + 4k + 2 = 0
(-2 * x2 + k * x2) + 2(2k + -3) * x + 4k + 2 = 0

Reorder the terms:
(kx2 + -2x2) + 2(2k + -3) * x + 4k + 2 = 0
(kx2 + -2x2) + 2(2k + -3) * x + 4k + 2 = 0

Reorder the terms:
kx2 + -2x2 + 2(-3 + 2k) * x + 4k + 2 = 0

Reorder the terms for easier multiplication:
kx2 + -2x2 + 2x(-3 + 2k) + 4k + 2 = 0
kx2 + -2x2 + (-3 * 2x + 2k * 2x) + 4k + 2 = 0

Reorder the terms:
kx2 + -2x2 + (4kx + -6x) + 4k + 2 = 0
kx2 + -2x2 + (4kx + -6x) + 4k + 2 = 0

Reorder the terms:
2 + 4k + 4kx + kx2 + -6x + -2x2 = 0

Solving
2 + 4k + 4kx + kx2 + -6x + -2x2 = 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 + 4k + 4kx + kx2 + -6x + -2 + -2x2 = 0 + -2

Reorder the terms:
2 + -2 + 4k + 4kx + kx2 + -6x + -2x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 4k + 4kx + kx2 + -6x + -2x2 = 0 + -2
4k + 4kx + kx2 + -6x + -2x2 = 0 + -2

Combine like terms: 0 + -2 = -2
4k + 4kx + kx2 + -6x + -2x2 = -2

Add '6x' to each side of the equation.
4k + 4kx + kx2 + -6x + 6x + -2x2 = -2 + 6x

Combine like terms: -6x + 6x = 0
4k + 4kx + kx2 + 0 + -2x2 = -2 + 6x
4k + 4kx + kx2 + -2x2 = -2 + 6x

Add '2x2' to each side of the equation.
4k + 4kx + kx2 + -2x2 + 2x2 = -2 + 6x + 2x2

Combine like terms: -2x2 + 2x2 = 0
4k + 4kx + kx2 + 0 = -2 + 6x + 2x2
4k + 4kx + kx2 = -2 + 6x + 2x2

Reorder the terms:
2 + 4k + 4kx + kx2 + -6x + -2x2 = -2 + 6x + 2x2 + 2 + -6x + -2x2

Reorder the terms:
2 + 4k + 4kx + kx2 + -6x + -2x2 = -2 + 2 + 6x + -6x + 2x2 + -2x2

Combine like terms: -2 + 2 = 0
2 + 4k + 4kx + kx2 + -6x + -2x2 = 0 + 6x + -6x + 2x2 + -2x2
2 + 4k + 4kx + kx2 + -6x + -2x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
2 + 4k + 4kx + kx2 + -6x + -2x2 = 0 + 2x2 + -2x2
2 + 4k + 4kx + kx2 + -6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
2 + 4k + 4kx + kx2 + -6x + -2x2 = 0

The solution to this equation could not be determined.

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