X^2-(k-8)x+k=0

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Solution for X^2-(k-8)x+k=0 equation: 


Simplifying
X2 + -1(k + -8) * x + k = 0

Reorder the terms:
X2 + -1(-8 + k) * x + k = 0

Reorder the terms for easier multiplication:
X2 + -1x(-8 + k) + k = 0
X2 + (-8 * -1x + k * -1x) + k = 0

Reorder the terms:
X2 + (-1kx + 8x) + k = 0
X2 + (-1kx + 8x) + k = 0

Reorder the terms:
X2 + k + -1kx + 8x = 0

Solving
X2 + k + -1kx + 8x = 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 + 8x = 0 + -1k

Reorder the terms:
X2 + k + -1k + -1kx + 8x = 0 + -1k

Combine like terms: k + -1k = 0
X2 + 0 + -1kx + 8x = 0 + -1k
X2 + -1kx + 8x = 0 + -1k
Remove the zero:
X2 + -1kx + 8x = -1k

Add 'kx' to each side of the equation.
X2 + -1kx + kx + 8x = -1k + kx

Combine like terms: -1kx + kx = 0
X2 + 0 + 8x = -1k + kx
X2 + 8x = -1k + kx

Add '-8x' to each side of the equation.
X2 + 8x + -8x = -1k + kx + -8x

Combine like terms: 8x + -8x = 0
X2 + 0 = -1k + kx + -8x
X2 = -1k + kx + -8x

Simplifying
X2 = -1k + kx + -8x

Reorder the terms:
X2 + k + -1kx + 8x = -1k + k + kx + -1kx + -8x + 8x

Combine like terms: -1k + k = 0
X2 + k + -1kx + 8x = 0 + kx + -1kx + -8x + 8x
X2 + k + -1kx + 8x = kx + -1kx + -8x + 8x

Combine like terms: kx + -1kx = 0
X2 + k + -1kx + 8x = 0 + -8x + 8x
X2 + k + -1kx + 8x = -8x + 8x

Combine like terms: -8x + 8x = 0
X2 + k + -1kx + 8x = 0

The solution to this equation could not be determined.

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