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

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


Simplifying
X2 + (k + -2) * x + (k + -2) = 0

Reorder the terms:
X2 + (-2 + k) * x + (k + -2) = 0

Reorder the terms for easier multiplication:
X2 + x(-2 + k) + (k + -2) = 0
X2 + (-2 * x + k * x) + (k + -2) = 0

Reorder the terms:
X2 + (kx + -2x) + (k + -2) = 0
X2 + (kx + -2x) + (k + -2) = 0

Reorder the terms:
X2 + kx + -2x + (-2 + k) = 0

Remove parenthesis around (-2 + k)
X2 + kx + -2x + -2 + k = 0

Reorder the terms:
-2 + X2 + k + kx + -2x = 0

Solving
-2 + X2 + k + kx + -2x = 0

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + X2 + k + kx + 2 + -2x = 0 + 2

Reorder the terms:
-2 + 2 + X2 + k + kx + -2x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + X2 + k + kx + -2x = 0 + 2
X2 + k + kx + -2x = 0 + 2

Combine like terms: 0 + 2 = 2
X2 + k + kx + -2x = 2

Add '-1k' to each side of the equation.
X2 + k + kx + -1k + -2x = 2 + -1k

Reorder the terms:
X2 + k + -1k + kx + -2x = 2 + -1k

Combine like terms: k + -1k = 0
X2 + 0 + kx + -2x = 2 + -1k
X2 + kx + -2x = 2 + -1k

Add '-1kx' to each side of the equation.
X2 + kx + -1kx + -2x = 2 + -1k + -1kx

Combine like terms: kx + -1kx = 0
X2 + 0 + -2x = 2 + -1k + -1kx
X2 + -2x = 2 + -1k + -1kx

Add '2x' to each side of the equation.
X2 + -2x + 2x = 2 + -1k + -1kx + 2x

Combine like terms: -2x + 2x = 0
X2 + 0 = 2 + -1k + -1kx + 2x
X2 = 2 + -1k + -1kx + 2x

Simplifying
X2 = 2 + -1k + -1kx + 2x

Reorder the terms:
-2 + X2 + k + kx + -2x = 2 + -1k + -1kx + 2x + -2 + k + kx + -2x

Reorder the terms:
-2 + X2 + k + kx + -2x = 2 + -2 + -1k + k + -1kx + kx + 2x + -2x

Combine like terms: 2 + -2 = 0
-2 + X2 + k + kx + -2x = 0 + -1k + k + -1kx + kx + 2x + -2x
-2 + X2 + k + kx + -2x = -1k + k + -1kx + kx + 2x + -2x

Combine like terms: -1k + k = 0
-2 + X2 + k + kx + -2x = 0 + -1kx + kx + 2x + -2x
-2 + X2 + k + kx + -2x = -1kx + kx + 2x + -2x

Combine like terms: -1kx + kx = 0
-2 + X2 + k + kx + -2x = 0 + 2x + -2x
-2 + X2 + k + kx + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + X2 + k + kx + -2x = 0

The solution to this equation could not be determined.

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