z^4+5iz^2+8=0

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Solution for z^4+5iz^2+8=0 equation:


Simplifying
z4 + 5iz2 + 8 = 0

Reorder the terms:
8 + 5iz2 + z4 = 0

Solving
8 + 5iz2 + z4 = 0

Solving for variable 'i'.

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

Add '-8' to each side of the equation.
8 + 5iz2 + -8 + z4 = 0 + -8

Reorder the terms:
8 + -8 + 5iz2 + z4 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5iz2 + z4 = 0 + -8
5iz2 + z4 = 0 + -8

Combine like terms: 0 + -8 = -8
5iz2 + z4 = -8

Add '-1z4' to each side of the equation.
5iz2 + z4 + -1z4 = -8 + -1z4

Combine like terms: z4 + -1z4 = 0
5iz2 + 0 = -8 + -1z4
5iz2 = -8 + -1z4

Divide each side by '5z2'.
i = -1.6z-2 + -0.2z2

Simplifying
i = -1.6z-2 + -0.2z2

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