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

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


Simplifying
X2 + -1(2 + k) * x + k = 0

Reorder the terms for easier multiplication:
X2 + -1x(2 + k) + k = 0
X2 + (2 * -1x + k * -1x) + k = 0

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

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

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

Solving for variable 'X'.

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

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

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

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

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

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

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

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

Simplifying
X2 = -1k + kx + 2x

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

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

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

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

The solution to this equation could not be determined.

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