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

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


Simplifying
z4 + -1(3 + 2i) * z2 + 2(4 + -3i) = 0

Reorder the terms for easier multiplication:
z4 + -1z2(3 + 2i) + 2(4 + -3i) = 0
z4 + (3 * -1z2 + 2i * -1z2) + 2(4 + -3i) = 0

Reorder the terms:
z4 + (-2iz2 + -3z2) + 2(4 + -3i) = 0
z4 + (-2iz2 + -3z2) + 2(4 + -3i) = 0
z4 + -2iz2 + -3z2 + (4 * 2 + -3i * 2) = 0
z4 + -2iz2 + -3z2 + (8 + -6i) = 0

Reorder the terms:
8 + -6i + -2iz2 + -3z2 + z4 = 0

Solving
8 + -6i + -2iz2 + -3z2 + 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 + -6i + -2iz2 + -3z2 + -8 + z4 = 0 + -8

Reorder the terms:
8 + -8 + -6i + -2iz2 + -3z2 + z4 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -6i + -2iz2 + -3z2 + z4 = 0 + -8
-6i + -2iz2 + -3z2 + z4 = 0 + -8

Combine like terms: 0 + -8 = -8
-6i + -2iz2 + -3z2 + z4 = -8

Add '3z2' to each side of the equation.
-6i + -2iz2 + -3z2 + 3z2 + z4 = -8 + 3z2

Combine like terms: -3z2 + 3z2 = 0
-6i + -2iz2 + 0 + z4 = -8 + 3z2
-6i + -2iz2 + z4 = -8 + 3z2

Add '-1z4' to each side of the equation.
-6i + -2iz2 + z4 + -1z4 = -8 + 3z2 + -1z4

Combine like terms: z4 + -1z4 = 0
-6i + -2iz2 + 0 = -8 + 3z2 + -1z4
-6i + -2iz2 = -8 + 3z2 + -1z4

Reorder the terms:
8 + -6i + -2iz2 + -3z2 + z4 = -8 + 3z2 + -1z4 + 8 + -3z2 + z4

Reorder the terms:
8 + -6i + -2iz2 + -3z2 + z4 = -8 + 8 + 3z2 + -3z2 + -1z4 + z4

Combine like terms: -8 + 8 = 0
8 + -6i + -2iz2 + -3z2 + z4 = 0 + 3z2 + -3z2 + -1z4 + z4
8 + -6i + -2iz2 + -3z2 + z4 = 3z2 + -3z2 + -1z4 + z4

Combine like terms: 3z2 + -3z2 = 0
8 + -6i + -2iz2 + -3z2 + z4 = 0 + -1z4 + z4
8 + -6i + -2iz2 + -3z2 + z4 = -1z4 + z4

Combine like terms: -1z4 + z4 = 0
8 + -6i + -2iz2 + -3z2 + z4 = 0

The solution to this equation could not be determined.

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