z^5-iz^3+(1+i)z^2+1-i=0

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Solution for z^5-iz^3+(1+i)z^2+1-i=0 equation: 


Simplifying
z5 + -1iz3 + (1 + i) * z2 + 1 + -1i = 0

Reorder the terms for easier multiplication:
z5 + -1iz3 + z2(1 + i) + 1 + -1i = 0
z5 + -1iz3 + (1 * z2 + i * z2) + 1 + -1i = 0

Reorder the terms:
z5 + -1iz3 + (iz2 + 1z2) + 1 + -1i = 0
z5 + -1iz3 + (iz2 + 1z2) + 1 + -1i = 0

Reorder the terms:
1 + -1i + iz2 + -1iz3 + 1z2 + z5 = 0

Solving
1 + -1i + iz2 + -1iz3 + 1z2 + z5 = 0

Solving for variable 'i'.

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

Add '-1' to each side of the equation.
1 + -1i + iz2 + -1iz3 + 1z2 + -1 + z5 = 0 + -1

Reorder the terms:
1 + -1 + -1i + iz2 + -1iz3 + 1z2 + z5 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1i + iz2 + -1iz3 + 1z2 + z5 = 0 + -1
-1i + iz2 + -1iz3 + 1z2 + z5 = 0 + -1

Combine like terms: 0 + -1 = -1
-1i + iz2 + -1iz3 + 1z2 + z5 = -1

Add '-1z2' to each side of the equation.
-1i + iz2 + -1iz3 + 1z2 + -1z2 + z5 = -1 + -1z2

Combine like terms: 1z2 + -1z2 = 0
-1i + iz2 + -1iz3 + 0 + z5 = -1 + -1z2
-1i + iz2 + -1iz3 + z5 = -1 + -1z2

Add '-1z5' to each side of the equation.
-1i + iz2 + -1iz3 + z5 + -1z5 = -1 + -1z2 + -1z5

Combine like terms: z5 + -1z5 = 0
-1i + iz2 + -1iz3 + 0 = -1 + -1z2 + -1z5
-1i + iz2 + -1iz3 = -1 + -1z2 + -1z5

Reorder the terms:
1 + -1i + iz2 + -1iz3 + z2 + z5 = -1 + -1z2 + -1z5 + 1 + z2 + z5

Reorder the terms:
1 + -1i + iz2 + -1iz3 + z2 + z5 = -1 + 1 + -1z2 + z2 + -1z5 + z5

Combine like terms: -1 + 1 = 0
1 + -1i + iz2 + -1iz3 + z2 + z5 = 0 + -1z2 + z2 + -1z5 + z5
1 + -1i + iz2 + -1iz3 + z2 + z5 = -1z2 + z2 + -1z5 + z5

Combine like terms: -1z2 + z2 = 0
1 + -1i + iz2 + -1iz3 + z2 + z5 = 0 + -1z5 + z5
1 + -1i + iz2 + -1iz3 + z2 + z5 = -1z5 + z5

Combine like terms: -1z5 + z5 = 0
1 + -1i + iz2 + -1iz3 + z2 + z5 = 0

The solution to this equation could not be determined.

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