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

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


Simplifying
X2 + (k + 1) * x + k + 4 = 0

Reorder the terms:
X2 + (1 + k) * x + k + 4 = 0

Reorder the terms for easier multiplication:
X2 + x(1 + k) + k + 4 = 0
X2 + (1 * x + k * x) + k + 4 = 0

Reorder the terms:
X2 + (kx + 1x) + k + 4 = 0
X2 + (kx + 1x) + k + 4 = 0

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

Solving
4 + X2 + k + kx + 1x = 0

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + X2 + k + kx + -4 + 1x = 0 + -4

Reorder the terms:
4 + -4 + X2 + k + kx + 1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + X2 + k + kx + 1x = 0 + -4
X2 + k + kx + 1x = 0 + -4

Combine like terms: 0 + -4 = -4
X2 + k + kx + 1x = -4

Add '-1k' to each side of the equation.
X2 + k + kx + -1k + 1x = -4 + -1k

Reorder the terms:
X2 + k + -1k + kx + 1x = -4 + -1k

Combine like terms: k + -1k = 0
X2 + 0 + kx + 1x = -4 + -1k
X2 + kx + 1x = -4 + -1k

Add '-1kx' to each side of the equation.
X2 + kx + -1kx + 1x = -4 + -1k + -1kx

Combine like terms: kx + -1kx = 0
X2 + 0 + 1x = -4 + -1k + -1kx
X2 + 1x = -4 + -1k + -1kx

Add '-1x' to each side of the equation.
X2 + 1x + -1x = -4 + -1k + -1kx + -1x

Combine like terms: 1x + -1x = 0
X2 + 0 = -4 + -1k + -1kx + -1x
X2 = -4 + -1k + -1kx + -1x

Simplifying
X2 = -4 + -1k + -1kx + -1x

Reorder the terms:
4 + X2 + k + kx + x = -4 + -1k + -1kx + -1x + 4 + k + kx + x

Reorder the terms:
4 + X2 + k + kx + x = -4 + 4 + -1k + k + -1kx + kx + -1x + x

Combine like terms: -4 + 4 = 0
4 + X2 + k + kx + x = 0 + -1k + k + -1kx + kx + -1x + x
4 + X2 + k + kx + x = -1k + k + -1kx + kx + -1x + x

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

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

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

The solution to this equation could not be determined.

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