Z^4-4z^2-16z-16=0

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


Simplifying
Z4 + -4z2 + -16z + -16 = 0

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

Solving
-16 + Z4 + -16z + -4z2 = 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 + -16z + 16 + -4z2 = 0 + 16

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

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

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

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

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

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

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

Simplifying
Z4 = 16 + 16z + 4z2

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

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

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

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

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

The solution to this equation could not be determined.

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