z^6-4z^4=(z^2-4)i

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Solution for z^6-4z^4=(z^2-4)i equation:


Simplifying
z6 + -4z4 = (z2 + -4) * i

Reorder the terms:
-4z4 + z6 = (z2 + -4) * i

Reorder the terms:
-4z4 + z6 = (-4 + z2) * i

Reorder the terms for easier multiplication:
-4z4 + z6 = i(-4 + z2)
-4z4 + z6 = (-4 * i + z2 * i)
-4z4 + z6 = (-4i + iz2)

Solving
-4z4 + z6 = -4i + iz2

Solving for variable 'z'.

Reorder the terms:
4i + -1iz2 + -4z4 + z6 = -4i + iz2 + 4i + -1iz2

Reorder the terms:
4i + -1iz2 + -4z4 + z6 = -4i + 4i + iz2 + -1iz2

Combine like terms: -4i + 4i = 0
4i + -1iz2 + -4z4 + z6 = 0 + iz2 + -1iz2
4i + -1iz2 + -4z4 + z6 = iz2 + -1iz2

Combine like terms: iz2 + -1iz2 = 0
4i + -1iz2 + -4z4 + z6 = 0

The solution to this equation could not be determined.

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