z^4+(2i-3)z^2-6i=0

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Solution for z^4+(2i-3)z^2-6i=0 equation:


Simplifying
z4 + (2i + -3) * z2 + -6i = 0

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

Reorder the terms for easier multiplication:
z4 + z2(-3 + 2i) + -6i = 0
z4 + (-3 * z2 + 2i * z2) + -6i = 0

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

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

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

Solving for variable 'i'.

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

Add '3z2' to each side of the equation.
-6i + 2iz2 + -3z2 + 3z2 + z4 = 0 + 3z2

Combine like terms: -3z2 + 3z2 = 0
-6i + 2iz2 + 0 + z4 = 0 + 3z2
-6i + 2iz2 + z4 = 0 + 3z2
Remove the zero:
-6i + 2iz2 + z4 = 3z2

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

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

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

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

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

The solution to this equation could not be determined.

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