z^4+(1+i)*z^2+5i=0

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Solution for z^4+(1+i)*z^2+5i=0 equation:


Simplifying
z4 + (1 + i) * z2 + 5i = 0

Reorder the terms for easier multiplication:
z4 + z2(1 + i) + 5i = 0
z4 + (1 * z2 + i * z2) + 5i = 0

Reorder the terms:
z4 + (iz2 + 1z2) + 5i = 0
z4 + (iz2 + 1z2) + 5i = 0

Reorder the terms:
5i + iz2 + 1z2 + z4 = 0

Solving
5i + iz2 + 1z2 + z4 = 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.
5i + iz2 + 1z2 + -1z2 + z4 = 0 + -1z2

Combine like terms: 1z2 + -1z2 = 0
5i + iz2 + 0 + z4 = 0 + -1z2
5i + iz2 + z4 = 0 + -1z2
Remove the zero:
5i + iz2 + z4 = -1z2

Add '-1z4' to each side of the equation.
5i + iz2 + z4 + -1z4 = -1z2 + -1z4

Combine like terms: z4 + -1z4 = 0
5i + iz2 + 0 = -1z2 + -1z4
5i + iz2 = -1z2 + -1z4

Reorder the terms:
5i + iz2 + z2 + z4 = -1z2 + z2 + -1z4 + z4

Combine like terms: -1z2 + z2 = 0
5i + iz2 + z2 + z4 = 0 + -1z4 + z4
5i + iz2 + z2 + z4 = -1z4 + z4

Combine like terms: -1z4 + z4 = 0
5i + iz2 + z2 + z4 = 0

The solution to this equation could not be determined.

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