Z^4-8z^2+16=0

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Solution for Z^4-8z^2+16=0 equation:


Simplifying
Z4 + -8z2 + 16 = 0

Reorder the terms:
16 + Z4 + -8z2 = 0

Solving
16 + Z4 + -8z2 = 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 + -16 + -8z2 = 0 + -16

Reorder the terms:
16 + -16 + Z4 + -8z2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + Z4 + -8z2 = 0 + -16
Z4 + -8z2 = 0 + -16

Combine like terms: 0 + -16 = -16
Z4 + -8z2 = -16

Add '8z2' to each side of the equation.
Z4 + -8z2 + 8z2 = -16 + 8z2

Combine like terms: -8z2 + 8z2 = 0
Z4 + 0 = -16 + 8z2
Z4 = -16 + 8z2

Simplifying
Z4 = -16 + 8z2

Reorder the terms:
16 + Z4 + -8z2 = -16 + 8z2 + 16 + -8z2

Reorder the terms:
16 + Z4 + -8z2 = -16 + 16 + 8z2 + -8z2

Combine like terms: -16 + 16 = 0
16 + Z4 + -8z2 = 0 + 8z2 + -8z2
16 + Z4 + -8z2 = 8z2 + -8z2

Combine like terms: 8z2 + -8z2 = 0
16 + Z4 + -8z2 = 0

The solution to this equation could not be determined.

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