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

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


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

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

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

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

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

Remove parenthesis around (-4 + 2k)
x2 + kx + -2x + -4 + 2k = 0

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

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

Solving for variable 'k'.

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

Add '4' to each side of the equation.
-4 + 2k + kx + -2x + 4 + x2 = 0 + 4

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

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

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

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

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

Add '-1x2' to each side of the equation.
2k + kx + x2 + -1x2 = 4 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
2k + kx + 0 = 4 + 2x + -1x2
2k + kx = 4 + 2x + -1x2

Reorder the terms:
-4 + 2k + kx + -2x + x2 = 4 + 2x + -1x2 + -4 + -2x + x2

Reorder the terms:
-4 + 2k + kx + -2x + x2 = 4 + -4 + 2x + -2x + -1x2 + x2

Combine like terms: 4 + -4 = 0
-4 + 2k + kx + -2x + x2 = 0 + 2x + -2x + -1x2 + x2
-4 + 2k + kx + -2x + x2 = 2x + -2x + -1x2 + x2

Combine like terms: 2x + -2x = 0
-4 + 2k + kx + -2x + x2 = 0 + -1x2 + x2
-4 + 2k + kx + -2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-4 + 2k + kx + -2x + x2 = 0

The solution to this equation could not be determined.

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