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

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


Simplifying
X2 + kx + 2x + -2k + -1 = 0

Reorder the terms:
-1 + X2 + -2k + kx + 2x = 0

Solving
-1 + X2 + -2k + kx + 2x = 0

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + X2 + -2k + kx + 1 + 2x = 0 + 1

Reorder the terms:
-1 + 1 + X2 + -2k + kx + 2x = 0 + 1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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