r^4+kr^3+r^2+4kr+16=0

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Solution for r^4+kr^3+r^2+4kr+16=0 equation: 


Simplifying
r4 + kr3 + r2 + 4kr + 16 = 0

Reorder the terms:
16 + 4kr + kr3 + r2 + r4 = 0

Solving
16 + 4kr + kr3 + r2 + r4 = 0

Solving for variable 'k'.

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

Add '-16' to each side of the equation.
16 + 4kr + kr3 + r2 + -16 + r4 = 0 + -16

Reorder the terms:
16 + -16 + 4kr + kr3 + r2 + r4 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 4kr + kr3 + r2 + r4 = 0 + -16
4kr + kr3 + r2 + r4 = 0 + -16

Combine like terms: 0 + -16 = -16
4kr + kr3 + r2 + r4 = -16

Add '-1r2' to each side of the equation.
4kr + kr3 + r2 + -1r2 + r4 = -16 + -1r2

Combine like terms: r2 + -1r2 = 0
4kr + kr3 + 0 + r4 = -16 + -1r2
4kr + kr3 + r4 = -16 + -1r2

Add '-1r4' to each side of the equation.
4kr + kr3 + r4 + -1r4 = -16 + -1r2 + -1r4

Combine like terms: r4 + -1r4 = 0
4kr + kr3 + 0 = -16 + -1r2 + -1r4
4kr + kr3 = -16 + -1r2 + -1r4

Reorder the terms:
16 + 4kr + kr3 + r2 + r4 = -16 + -1r2 + -1r4 + 16 + r2 + r4

Reorder the terms:
16 + 4kr + kr3 + r2 + r4 = -16 + 16 + -1r2 + r2 + -1r4 + r4

Combine like terms: -16 + 16 = 0
16 + 4kr + kr3 + r2 + r4 = 0 + -1r2 + r2 + -1r4 + r4
16 + 4kr + kr3 + r2 + r4 = -1r2 + r2 + -1r4 + r4

Combine like terms: -1r2 + r2 = 0
16 + 4kr + kr3 + r2 + r4 = 0 + -1r4 + r4
16 + 4kr + kr3 + r2 + r4 = -1r4 + r4

Combine like terms: -1r4 + r4 = 0
16 + 4kr + kr3 + r2 + r4 = 0

The solution to this equation could not be determined.

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