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

Remove parenthesis around (4 + -1k)
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 '-1x' to each side of the equation.
-1k + kx + 1x + -1x + x2 = -4 + -1x

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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