z^4-3(1+i)z^2+4-3i=0

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Solution for z^4-3(1+i)z^2+4-3i=0 equation: 


Simplifying
z4 + -3(1 + i) * z2 + 4 + -3i = 0

Reorder the terms for easier multiplication:
z4 + -3z2(1 + i) + 4 + -3i = 0
z4 + (1 * -3z2 + i * -3z2) + 4 + -3i = 0

Reorder the terms:
z4 + (-3iz2 + -3z2) + 4 + -3i = 0
z4 + (-3iz2 + -3z2) + 4 + -3i = 0

Reorder the terms:
4 + -3i + -3iz2 + -3z2 + z4 = 0

Solving
4 + -3i + -3iz2 + -3z2 + z4 = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -3i + -3iz2 + -3z2 + -4 + z4 = 0 + -4

Reorder the terms:
4 + -4 + -3i + -3iz2 + -3z2 + z4 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3i + -3iz2 + -3z2 + z4 = 0 + -4
-3i + -3iz2 + -3z2 + z4 = 0 + -4

Combine like terms: 0 + -4 = -4
-3i + -3iz2 + -3z2 + z4 = -4

Add '3z2' to each side of the equation.
-3i + -3iz2 + -3z2 + 3z2 + z4 = -4 + 3z2

Combine like terms: -3z2 + 3z2 = 0
-3i + -3iz2 + 0 + z4 = -4 + 3z2
-3i + -3iz2 + z4 = -4 + 3z2

Add '-1z4' to each side of the equation.
-3i + -3iz2 + z4 + -1z4 = -4 + 3z2 + -1z4

Combine like terms: z4 + -1z4 = 0
-3i + -3iz2 + 0 = -4 + 3z2 + -1z4
-3i + -3iz2 = -4 + 3z2 + -1z4

Reorder the terms:
4 + -3i + -3iz2 + -3z2 + z4 = -4 + 3z2 + -1z4 + 4 + -3z2 + z4

Reorder the terms:
4 + -3i + -3iz2 + -3z2 + z4 = -4 + 4 + 3z2 + -3z2 + -1z4 + z4

Combine like terms: -4 + 4 = 0
4 + -3i + -3iz2 + -3z2 + z4 = 0 + 3z2 + -3z2 + -1z4 + z4
4 + -3i + -3iz2 + -3z2 + z4 = 3z2 + -3z2 + -1z4 + z4

Combine like terms: 3z2 + -3z2 = 0
4 + -3i + -3iz2 + -3z2 + z4 = 0 + -1z4 + z4
4 + -3i + -3iz2 + -3z2 + z4 = -1z4 + z4

Combine like terms: -1z4 + z4 = 0
4 + -3i + -3iz2 + -3z2 + z4 = 0

The solution to this equation could not be determined.

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