K^4+6k^3+13k^2+12k+4=0

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Solution for K^4+6k^3+13k^2+12k+4=0 equation: 


Simplifying
K4 + 6k3 + 13k2 + 12k + 4 = 0

Reorder the terms:
4 + K4 + 12k + 13k2 + 6k3 = 0

Solving
4 + K4 + 12k + 13k2 + 6k3 = 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 + K4 + 12k + 13k2 + -4 + 6k3 = 0 + -4

Reorder the terms:
4 + -4 + K4 + 12k + 13k2 + 6k3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + K4 + 12k + 13k2 + 6k3 = 0 + -4
K4 + 12k + 13k2 + 6k3 = 0 + -4

Combine like terms: 0 + -4 = -4
K4 + 12k + 13k2 + 6k3 = -4

Add '-12k' to each side of the equation.
K4 + 12k + 13k2 + -12k + 6k3 = -4 + -12k

Reorder the terms:
K4 + 12k + -12k + 13k2 + 6k3 = -4 + -12k

Combine like terms: 12k + -12k = 0
K4 + 0 + 13k2 + 6k3 = -4 + -12k
K4 + 13k2 + 6k3 = -4 + -12k

Add '-13k2' to each side of the equation.
K4 + 13k2 + -13k2 + 6k3 = -4 + -12k + -13k2

Combine like terms: 13k2 + -13k2 = 0
K4 + 0 + 6k3 = -4 + -12k + -13k2
K4 + 6k3 = -4 + -12k + -13k2

Add '-6k3' to each side of the equation.
K4 + 6k3 + -6k3 = -4 + -12k + -13k2 + -6k3

Combine like terms: 6k3 + -6k3 = 0
K4 + 0 = -4 + -12k + -13k2 + -6k3
K4 = -4 + -12k + -13k2 + -6k3

Simplifying
K4 = -4 + -12k + -13k2 + -6k3

Reorder the terms:
4 + K4 + 12k + 13k2 + 6k3 = -4 + -12k + -13k2 + -6k3 + 4 + 12k + 13k2 + 6k3

Reorder the terms:
4 + K4 + 12k + 13k2 + 6k3 = -4 + 4 + -12k + 12k + -13k2 + 13k2 + -6k3 + 6k3

Combine like terms: -4 + 4 = 0
4 + K4 + 12k + 13k2 + 6k3 = 0 + -12k + 12k + -13k2 + 13k2 + -6k3 + 6k3
4 + K4 + 12k + 13k2 + 6k3 = -12k + 12k + -13k2 + 13k2 + -6k3 + 6k3

Combine like terms: -12k + 12k = 0
4 + K4 + 12k + 13k2 + 6k3 = 0 + -13k2 + 13k2 + -6k3 + 6k3
4 + K4 + 12k + 13k2 + 6k3 = -13k2 + 13k2 + -6k3 + 6k3

Combine like terms: -13k2 + 13k2 = 0
4 + K4 + 12k + 13k2 + 6k3 = 0 + -6k3 + 6k3
4 + K4 + 12k + 13k2 + 6k3 = -6k3 + 6k3

Combine like terms: -6k3 + 6k3 = 0
4 + K4 + 12k + 13k2 + 6k3 = 0

The solution to this equation could not be determined.

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