z^4+(15+7i)z^2+8-15i=0

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Solution for z^4+(15+7i)z^2+8-15i=0 equation: 


Simplifying
z4 + (15 + 7i) * z2 + 8 + -15i = 0

Reorder the terms for easier multiplication:
z4 + z2(15 + 7i) + 8 + -15i = 0
z4 + (15 * z2 + 7i * z2) + 8 + -15i = 0

Reorder the terms:
z4 + (7iz2 + 15z2) + 8 + -15i = 0
z4 + (7iz2 + 15z2) + 8 + -15i = 0

Reorder the terms:
8 + -15i + 7iz2 + 15z2 + z4 = 0

Solving
8 + -15i + 7iz2 + 15z2 + 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 + -15i + 7iz2 + 15z2 + -8 + z4 = 0 + -8

Reorder the terms:
8 + -8 + -15i + 7iz2 + 15z2 + z4 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -15i + 7iz2 + 15z2 + z4 = 0 + -8
-15i + 7iz2 + 15z2 + z4 = 0 + -8

Combine like terms: 0 + -8 = -8
-15i + 7iz2 + 15z2 + z4 = -8

Add '-15z2' to each side of the equation.
-15i + 7iz2 + 15z2 + -15z2 + z4 = -8 + -15z2

Combine like terms: 15z2 + -15z2 = 0
-15i + 7iz2 + 0 + z4 = -8 + -15z2
-15i + 7iz2 + z4 = -8 + -15z2

Add '-1z4' to each side of the equation.
-15i + 7iz2 + z4 + -1z4 = -8 + -15z2 + -1z4

Combine like terms: z4 + -1z4 = 0
-15i + 7iz2 + 0 = -8 + -15z2 + -1z4
-15i + 7iz2 = -8 + -15z2 + -1z4

Reorder the terms:
8 + -15i + 7iz2 + 15z2 + z4 = -8 + -15z2 + -1z4 + 8 + 15z2 + z4

Reorder the terms:
8 + -15i + 7iz2 + 15z2 + z4 = -8 + 8 + -15z2 + 15z2 + -1z4 + z4

Combine like terms: -8 + 8 = 0
8 + -15i + 7iz2 + 15z2 + z4 = 0 + -15z2 + 15z2 + -1z4 + z4
8 + -15i + 7iz2 + 15z2 + z4 = -15z2 + 15z2 + -1z4 + z4

Combine like terms: -15z2 + 15z2 = 0
8 + -15i + 7iz2 + 15z2 + z4 = 0 + -1z4 + z4
8 + -15i + 7iz2 + 15z2 + z4 = -1z4 + z4

Combine like terms: -1z4 + z4 = 0
8 + -15i + 7iz2 + 15z2 + z4 = 0

The solution to this equation could not be determined.

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