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

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


Simplifying
(x + 4)(x + k) + -2k + -4 = 0

Reorder the terms:
(4 + x)(x + k) + -2k + -4 = 0

Reorder the terms:
(4 + x)(k + x) + -2k + -4 = 0

Multiply (4 + x) * (k + x)
(4(k + x) + x(k + x)) + -2k + -4 = 0
((k * 4 + x * 4) + x(k + x)) + -2k + -4 = 0
((4k + 4x) + x(k + x)) + -2k + -4 = 0
(4k + 4x + (k * x + x * x)) + -2k + -4 = 0
(4k + 4x + (kx + x2)) + -2k + -4 = 0

Reorder the terms:
(4k + kx + 4x + x2) + -2k + -4 = 0
(4k + kx + 4x + x2) + -2k + -4 = 0

Reorder the terms:
-4 + 4k + -2k + kx + 4x + x2 = 0

Combine like terms: 4k + -2k = 2k
-4 + 2k + kx + 4x + x2 = 0

Solving
-4 + 2k + kx + 4x + 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 + 2k + kx + 4x + 4 + x2 = 0 + 4

Reorder the terms:
-4 + 4 + 2k + kx + 4x + x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2k + kx + 4x + x2 = 0 + 4
2k + kx + 4x + x2 = 0 + 4

Combine like terms: 0 + 4 = 4
2k + kx + 4x + x2 = 4

Add '-4x' to each side of the equation.
2k + kx + 4x + -4x + x2 = 4 + -4x

Combine like terms: 4x + -4x = 0
2k + kx + 0 + x2 = 4 + -4x
2k + kx + x2 = 4 + -4x

Add '-1x2' to each side of the equation.
2k + kx + x2 + -1x2 = 4 + -4x + -1x2

Combine like terms: x2 + -1x2 = 0
2k + kx + 0 = 4 + -4x + -1x2
2k + kx = 4 + -4x + -1x2

Reorder the terms:
-4 + 2k + kx + 4x + x2 = 4 + -4x + -1x2 + -4 + 4x + x2

Reorder the terms:
-4 + 2k + kx + 4x + x2 = 4 + -4 + -4x + 4x + -1x2 + x2

Combine like terms: 4 + -4 = 0
-4 + 2k + kx + 4x + x2 = 0 + -4x + 4x + -1x2 + x2
-4 + 2k + kx + 4x + x2 = -4x + 4x + -1x2 + x2

Combine like terms: -4x + 4x = 0
-4 + 2k + kx + 4x + x2 = 0 + -1x2 + x2
-4 + 2k + kx + 4x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-4 + 2k + kx + 4x + x2 = 0

The solution to this equation could not be determined.

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