z^6-iz^4+z^2-i=0

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Solution for z^6-iz^4+z^2-i=0 equation:


Simplifying
z6 + -1iz4 + z2 + -1i = 0

Reorder the terms:
-1i + -1iz4 + z2 + z6 = 0

Solving
-1i + -1iz4 + z2 + z6 = 0

Solving for variable 'i'.

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

Add '-1z2' to each side of the equation.
-1i + -1iz4 + z2 + -1z2 + z6 = 0 + -1z2

Combine like terms: z2 + -1z2 = 0
-1i + -1iz4 + 0 + z6 = 0 + -1z2
-1i + -1iz4 + z6 = 0 + -1z2
Remove the zero:
-1i + -1iz4 + z6 = -1z2

Add '-1z6' to each side of the equation.
-1i + -1iz4 + z6 + -1z6 = -1z2 + -1z6

Combine like terms: z6 + -1z6 = 0
-1i + -1iz4 + 0 = -1z2 + -1z6
-1i + -1iz4 = -1z2 + -1z6

Reorder the terms:
-1i + -1iz4 + z2 + z6 = -1z2 + z2 + -1z6 + z6

Combine like terms: -1z2 + z2 = 0
-1i + -1iz4 + z2 + z6 = 0 + -1z6 + z6
-1i + -1iz4 + z2 + z6 = -1z6 + z6

Combine like terms: -1z6 + z6 = 0
-1i + -1iz4 + z2 + z6 = 0

The solution to this equation could not be determined.

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