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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.