(x+4)*(x+k)=x*x+x-12

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Solution for (x+4)*(x+k)=x*x+x-12 equation: 


Simplifying
(x + 4)(x + k) = x * x + x + -12

Reorder the terms:
(4 + x)(x + k) = x * x + x + -12

Reorder the terms:
(4 + x)(k + x) = x * x + x + -12

Multiply (4 + x) * (k + x)
(4(k + x) + x(k + x)) = x * x + x + -12
((k * 4 + x * 4) + x(k + x)) = x * x + x + -12
((4k + 4x) + x(k + x)) = x * x + x + -12
(4k + 4x + (k * x + x * x)) = x * x + x + -12
(4k + 4x + (kx + x2)) = x * x + x + -12

Reorder the terms:
(4k + kx + 4x + x2) = x * x + x + -12
(4k + kx + 4x + x2) = x * x + x + -12

Multiply x * x
4k + kx + 4x + x2 = x2 + x + -12

Reorder the terms:
4k + kx + 4x + x2 = -12 + x + x2

Add '-1x2' to each side of the equation.
4k + kx + 4x + x2 + -1x2 = -12 + x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4k + kx + 4x + 0 = -12 + x + x2 + -1x2
4k + kx + 4x = -12 + x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4k + kx + 4x = -12 + x + 0
4k + kx + 4x = -12 + x

Solving
4k + kx + 4x = -12 + x

Solving for variable 'k'.

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

Add '-4x' to each side of the equation.
4k + kx + 4x + -4x = -12 + x + -4x

Combine like terms: 4x + -4x = 0
4k + kx + 0 = -12 + x + -4x
4k + kx = -12 + x + -4x

Combine like terms: x + -4x = -3x
4k + kx = -12 + -3x

Reorder the terms:
12 + 4k + kx + 3x = -12 + -3x + 12 + 3x

Reorder the terms:
12 + 4k + kx + 3x = -12 + 12 + -3x + 3x

Combine like terms: -12 + 12 = 0
12 + 4k + kx + 3x = 0 + -3x + 3x
12 + 4k + kx + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 4k + kx + 3x = 0

The solution to this equation could not be determined.

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