z^2-(3+5i)z+8i-4=0

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Solution for z^2-(3+5i)z+8i-4=0 equation: 


Simplifying
z2 + -1(3 + 5i) * z + 8i + -4 = 0

Reorder the terms for easier multiplication:
z2 + -1z(3 + 5i) + 8i + -4 = 0
z2 + (3 * -1z + 5i * -1z) + 8i + -4 = 0

Reorder the terms:
z2 + (-5iz + -3z) + 8i + -4 = 0
z2 + (-5iz + -3z) + 8i + -4 = 0

Reorder the terms:
-4 + 8i + -5iz + -3z + z2 = 0

Solving
-4 + 8i + -5iz + -3z + z2 = 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 + 8i + -5iz + -3z + 4 + z2 = 0 + 4

Reorder the terms:
-4 + 4 + 8i + -5iz + -3z + z2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 8i + -5iz + -3z + z2 = 0 + 4
8i + -5iz + -3z + z2 = 0 + 4

Combine like terms: 0 + 4 = 4
8i + -5iz + -3z + z2 = 4

Add '3z' to each side of the equation.
8i + -5iz + -3z + 3z + z2 = 4 + 3z

Combine like terms: -3z + 3z = 0
8i + -5iz + 0 + z2 = 4 + 3z
8i + -5iz + z2 = 4 + 3z

Add '-1z2' to each side of the equation.
8i + -5iz + z2 + -1z2 = 4 + 3z + -1z2

Combine like terms: z2 + -1z2 = 0
8i + -5iz + 0 = 4 + 3z + -1z2
8i + -5iz = 4 + 3z + -1z2

Reorder the terms:
-4 + 8i + -5iz + -3z + z2 = 4 + 3z + -1z2 + -4 + -3z + z2

Reorder the terms:
-4 + 8i + -5iz + -3z + z2 = 4 + -4 + 3z + -3z + -1z2 + z2

Combine like terms: 4 + -4 = 0
-4 + 8i + -5iz + -3z + z2 = 0 + 3z + -3z + -1z2 + z2
-4 + 8i + -5iz + -3z + z2 = 3z + -3z + -1z2 + z2

Combine like terms: 3z + -3z = 0
-4 + 8i + -5iz + -3z + z2 = 0 + -1z2 + z2
-4 + 8i + -5iz + -3z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-4 + 8i + -5iz + -3z + z2 = 0

The solution to this equation could not be determined.

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