x^2+(k-1)x+4-k=0

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Solution for x^2+(k-1)x+4-k=0 equation: 


Simplifying
x2 + (k + -1) * x + 4 + -1k = 0

Reorder the terms:
x2 + (-1 + k) * x + 4 + -1k = 0

Reorder the terms for easier multiplication:
x2 + x(-1 + k) + 4 + -1k = 0
x2 + (-1 * x + k * x) + 4 + -1k = 0

Reorder the terms:
x2 + (kx + -1x) + 4 + -1k = 0
x2 + (kx + -1x) + 4 + -1k = 0

Reorder the terms:
4 + -1k + kx + -1x + x2 = 0

Solving
4 + -1k + kx + -1x + x2 = 0

Solving for variable 'k'.

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

Add '-4' to each side of the equation.
4 + -1k + kx + -1x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -1k + kx + -1x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1k + kx + -1x + x2 = 0 + -4
-1k + kx + -1x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-1k + kx + -1x + x2 = -4

Add 'x' to each side of the equation.
-1k + kx + -1x + x + x2 = -4 + x

Combine like terms: -1x + x = 0
-1k + kx + 0 + x2 = -4 + x
-1k + kx + x2 = -4 + x

Add '-1x2' to each side of the equation.
-1k + kx + x2 + -1x2 = -4 + x + -1x2

Combine like terms: x2 + -1x2 = 0
-1k + kx + 0 = -4 + x + -1x2
-1k + kx = -4 + x + -1x2

Reorder the terms:
4 + -1k + kx + -1x + x2 = -4 + x + -1x2 + 4 + -1x + x2

Reorder the terms:
4 + -1k + kx + -1x + x2 = -4 + 4 + x + -1x + -1x2 + x2

Combine like terms: -4 + 4 = 0
4 + -1k + kx + -1x + x2 = 0 + x + -1x + -1x2 + x2
4 + -1k + kx + -1x + x2 = x + -1x + -1x2 + x2

Combine like terms: x + -1x = 0
4 + -1k + kx + -1x + x2 = 0 + -1x2 + x2
4 + -1k + kx + -1x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
4 + -1k + kx + -1x + x2 = 0

The solution to this equation could not be determined.

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