Z^4+2z^3+4z^2+z+16=0

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Solution for Z^4+2z^3+4z^2+z+16=0 equation: 


Simplifying
Z4 + 2z3 + 4z2 + z + 16 = 0

Reorder the terms:
16 + Z4 + z + 4z2 + 2z3 = 0

Solving
16 + Z4 + z + 4z2 + 2z3 = 0

Solving for variable 'Z'.

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

Add '-16' to each side of the equation.
16 + Z4 + z + 4z2 + -16 + 2z3 = 0 + -16

Reorder the terms:
16 + -16 + Z4 + z + 4z2 + 2z3 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + Z4 + z + 4z2 + 2z3 = 0 + -16
Z4 + z + 4z2 + 2z3 = 0 + -16

Combine like terms: 0 + -16 = -16
Z4 + z + 4z2 + 2z3 = -16

Add '-1z' to each side of the equation.
Z4 + z + 4z2 + -1z + 2z3 = -16 + -1z

Reorder the terms:
Z4 + z + -1z + 4z2 + 2z3 = -16 + -1z

Combine like terms: z + -1z = 0
Z4 + 0 + 4z2 + 2z3 = -16 + -1z
Z4 + 4z2 + 2z3 = -16 + -1z

Add '-4z2' to each side of the equation.
Z4 + 4z2 + -4z2 + 2z3 = -16 + -1z + -4z2

Combine like terms: 4z2 + -4z2 = 0
Z4 + 0 + 2z3 = -16 + -1z + -4z2
Z4 + 2z3 = -16 + -1z + -4z2

Add '-2z3' to each side of the equation.
Z4 + 2z3 + -2z3 = -16 + -1z + -4z2 + -2z3

Combine like terms: 2z3 + -2z3 = 0
Z4 + 0 = -16 + -1z + -4z2 + -2z3
Z4 = -16 + -1z + -4z2 + -2z3

Simplifying
Z4 = -16 + -1z + -4z2 + -2z3

Reorder the terms:
16 + Z4 + z + 4z2 + 2z3 = -16 + -1z + -4z2 + -2z3 + 16 + z + 4z2 + 2z3

Reorder the terms:
16 + Z4 + z + 4z2 + 2z3 = -16 + 16 + -1z + z + -4z2 + 4z2 + -2z3 + 2z3

Combine like terms: -16 + 16 = 0
16 + Z4 + z + 4z2 + 2z3 = 0 + -1z + z + -4z2 + 4z2 + -2z3 + 2z3
16 + Z4 + z + 4z2 + 2z3 = -1z + z + -4z2 + 4z2 + -2z3 + 2z3

Combine like terms: -1z + z = 0
16 + Z4 + z + 4z2 + 2z3 = 0 + -4z2 + 4z2 + -2z3 + 2z3
16 + Z4 + z + 4z2 + 2z3 = -4z2 + 4z2 + -2z3 + 2z3

Combine like terms: -4z2 + 4z2 = 0
16 + Z4 + z + 4z2 + 2z3 = 0 + -2z3 + 2z3
16 + Z4 + z + 4z2 + 2z3 = -2z3 + 2z3

Combine like terms: -2z3 + 2z3 = 0
16 + Z4 + z + 4z2 + 2z3 = 0

The solution to this equation could not be determined.

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