z^5+i(2+2)z^3+z^2+i(2+2)=0

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Solution for z^5+i(2+2)z^3+z^2+i(2+2)=0 equation:


Simplifying
z5 + i(2 + 2) * z3 + z2 + i(2 + 2) = 0

Combine like terms: 2 + 2 = 4
z5 + i(4) * z3 + z2 + i(2 + 2) = 0

Reorder the terms for easier multiplication:
z5 + 4i * z3 + z2 + i(2 + 2) = 0

Multiply i * z3
z5 + 4iz3 + z2 + i(2 + 2) = 0

Combine like terms: 2 + 2 = 4
z5 + 4iz3 + z2 + i(4) = 0

Reorder the terms for easier multiplication:
z5 + 4iz3 + z2 + 4i = 0

Reorder the terms:
4i + 4iz3 + z2 + z5 = 0

Solving
4i + 4iz3 + z2 + z5 = 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.
4i + 4iz3 + z2 + -1z2 + z5 = 0 + -1z2

Combine like terms: z2 + -1z2 = 0
4i + 4iz3 + 0 + z5 = 0 + -1z2
4i + 4iz3 + z5 = 0 + -1z2
Remove the zero:
4i + 4iz3 + z5 = -1z2

Add '-1z5' to each side of the equation.
4i + 4iz3 + z5 + -1z5 = -1z2 + -1z5

Combine like terms: z5 + -1z5 = 0
4i + 4iz3 + 0 = -1z2 + -1z5
4i + 4iz3 = -1z2 + -1z5

Reorder the terms:
4i + 4iz3 + z2 + z5 = -1z2 + z2 + -1z5 + z5

Combine like terms: -1z2 + z2 = 0
4i + 4iz3 + z2 + z5 = 0 + -1z5 + z5
4i + 4iz3 + z2 + z5 = -1z5 + z5

Combine like terms: -1z5 + z5 = 0
4i + 4iz3 + z2 + z5 = 0

The solution to this equation could not be determined.

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