Z^4-10z^2+20z-16=0

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Solution for Z^4-10z^2+20z-16=0 equation: 


Simplifying
Z4 + -10z2 + 20z + -16 = 0

Reorder the terms:
-16 + Z4 + 20z + -10z2 = 0

Solving
-16 + Z4 + 20z + -10z2 = 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 + 20z + 16 + -10z2 = 0 + 16

Reorder the terms:
-16 + 16 + Z4 + 20z + -10z2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + Z4 + 20z + -10z2 = 0 + 16
Z4 + 20z + -10z2 = 0 + 16

Combine like terms: 0 + 16 = 16
Z4 + 20z + -10z2 = 16

Add '-20z' to each side of the equation.
Z4 + 20z + -20z + -10z2 = 16 + -20z

Combine like terms: 20z + -20z = 0
Z4 + 0 + -10z2 = 16 + -20z
Z4 + -10z2 = 16 + -20z

Add '10z2' to each side of the equation.
Z4 + -10z2 + 10z2 = 16 + -20z + 10z2

Combine like terms: -10z2 + 10z2 = 0
Z4 + 0 = 16 + -20z + 10z2
Z4 = 16 + -20z + 10z2

Simplifying
Z4 = 16 + -20z + 10z2

Reorder the terms:
-16 + Z4 + 20z + -10z2 = 16 + -20z + 10z2 + -16 + 20z + -10z2

Reorder the terms:
-16 + Z4 + 20z + -10z2 = 16 + -16 + -20z + 20z + 10z2 + -10z2

Combine like terms: 16 + -16 = 0
-16 + Z4 + 20z + -10z2 = 0 + -20z + 20z + 10z2 + -10z2
-16 + Z4 + 20z + -10z2 = -20z + 20z + 10z2 + -10z2

Combine like terms: -20z + 20z = 0
-16 + Z4 + 20z + -10z2 = 0 + 10z2 + -10z2
-16 + Z4 + 20z + -10z2 = 10z2 + -10z2

Combine like terms: 10z2 + -10z2 = 0
-16 + Z4 + 20z + -10z2 = 0

The solution to this equation could not be determined.

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