(X-2)(x^2-2kx+1-k^2)=0

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Solution for (X-2)(x^2-2kx+1-k^2)=0 equation: 


Simplifying
(X + -2)(x2 + -2kx + 1 + -1k2) = 0

Reorder the terms:
(-2 + X)(x2 + -2kx + 1 + -1k2) = 0

Reorder the terms:
(-2 + X)(1 + -2kx + -1k2 + x2) = 0

Multiply (-2 + X) * (1 + -2kx + -1k2 + x2)
(-2(1 + -2kx + -1k2 + x2) + X(1 + -2kx + -1k2 + x2)) = 0
((1 * -2 + -2kx * -2 + -1k2 * -2 + x2 * -2) + X(1 + -2kx + -1k2 + x2)) = 0
((-2 + 4kx + 2k2 + -2x2) + X(1 + -2kx + -1k2 + x2)) = 0
(-2 + 4kx + 2k2 + -2x2 + (1 * X + -2kx * X + -1k2 * X + x2 * X)) = 0
(-2 + 4kx + 2k2 + -2x2 + (1X + -2kxX + -1k2X + x2X)) = 0

Reorder the terms:
(-2 + 1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X) = 0
(-2 + 1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X) = 0

Solving
-2 + 1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X = 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 + 1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + 2 + x2X = 0 + 2

Reorder the terms:
-2 + 2 + 1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X = 0 + 2
1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X = 0 + 2

Combine like terms: 0 + 2 = 2
1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X = 2

Add '-4kx' to each side of the equation.
1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + -4kx + x2X = 2 + -4kx

Reorder the terms:
1X + 4kx + -4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X = 2 + -4kx

Combine like terms: 4kx + -4kx = 0
1X + 0 + -2kxX + 2k2 + -1k2X + -2x2 + x2X = 2 + -4kx
1X + -2kxX + 2k2 + -1k2X + -2x2 + x2X = 2 + -4kx

Add '-2k2' to each side of the equation.
1X + -2kxX + 2k2 + -1k2X + -2x2 + -2k2 + x2X = 2 + -4kx + -2k2

Reorder the terms:
1X + -2kxX + 2k2 + -2k2 + -1k2X + -2x2 + x2X = 2 + -4kx + -2k2

Combine like terms: 2k2 + -2k2 = 0
1X + -2kxX + 0 + -1k2X + -2x2 + x2X = 2 + -4kx + -2k2
1X + -2kxX + -1k2X + -2x2 + x2X = 2 + -4kx + -2k2

Add '2x2' to each side of the equation.
1X + -2kxX + -1k2X + -2x2 + 2x2 + x2X = 2 + -4kx + -2k2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
1X + -2kxX + -1k2X + 0 + x2X = 2 + -4kx + -2k2 + 2x2
1X + -2kxX + -1k2X + x2X = 2 + -4kx + -2k2 + 2x2

Reorder the terms:
-2 + 1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X = 2 + -4kx + -2k2 + 2x2 + -2 + 4kx + 2k2 + -2x2

Reorder the terms:
-2 + 1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X = 2 + -2 + -4kx + 4kx + -2k2 + 2k2 + 2x2 + -2x2

Combine like terms: 2 + -2 = 0
-2 + 1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X = 0 + -4kx + 4kx + -2k2 + 2k2 + 2x2 + -2x2
-2 + 1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X = -4kx + 4kx + -2k2 + 2k2 + 2x2 + -2x2

Combine like terms: -4kx + 4kx = 0
-2 + 1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X = 0 + -2k2 + 2k2 + 2x2 + -2x2
-2 + 1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X = -2k2 + 2k2 + 2x2 + -2x2

Combine like terms: -2k2 + 2k2 = 0
-2 + 1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X = 0 + 2x2 + -2x2
-2 + 1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + 1X + 4kx + -2kxX + 2k2 + -1k2X + -2x2 + x2X = 0

The solution to this equation could not be determined.

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