a^2+b^2-4iz+2i-4=0

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Solution for a^2+b^2-4iz+2i-4=0 equation: 


Simplifying
a2 + b2 + -4iz + 2i + -4 = 0

Reorder the terms:
-4 + a2 + b2 + 2i + -4iz = 0

Solving
-4 + a2 + b2 + 2i + -4iz = 0

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + a2 + b2 + 2i + 4 + -4iz = 0 + 4

Reorder the terms:
-4 + 4 + a2 + b2 + 2i + -4iz = 0 + 4

Combine like terms: -4 + 4 = 0
0 + a2 + b2 + 2i + -4iz = 0 + 4
a2 + b2 + 2i + -4iz = 0 + 4

Combine like terms: 0 + 4 = 4
a2 + b2 + 2i + -4iz = 4

Add '-1b2' to each side of the equation.
a2 + b2 + 2i + -1b2 + -4iz = 4 + -1b2

Reorder the terms:
a2 + b2 + -1b2 + 2i + -4iz = 4 + -1b2

Combine like terms: b2 + -1b2 = 0
a2 + 0 + 2i + -4iz = 4 + -1b2
a2 + 2i + -4iz = 4 + -1b2

Add '-2i' to each side of the equation.
a2 + 2i + -2i + -4iz = 4 + -1b2 + -2i

Combine like terms: 2i + -2i = 0
a2 + 0 + -4iz = 4 + -1b2 + -2i
a2 + -4iz = 4 + -1b2 + -2i

Add '4iz' to each side of the equation.
a2 + -4iz + 4iz = 4 + -1b2 + -2i + 4iz

Combine like terms: -4iz + 4iz = 0
a2 + 0 = 4 + -1b2 + -2i + 4iz
a2 = 4 + -1b2 + -2i + 4iz

Simplifying
a2 = 4 + -1b2 + -2i + 4iz

Reorder the terms:
-4 + a2 + b2 + 2i + -4iz = 4 + -1b2 + -2i + 4iz + -4 + b2 + 2i + -4iz

Reorder the terms:
-4 + a2 + b2 + 2i + -4iz = 4 + -4 + -1b2 + b2 + -2i + 2i + 4iz + -4iz

Combine like terms: 4 + -4 = 0
-4 + a2 + b2 + 2i + -4iz = 0 + -1b2 + b2 + -2i + 2i + 4iz + -4iz
-4 + a2 + b2 + 2i + -4iz = -1b2 + b2 + -2i + 2i + 4iz + -4iz

Combine like terms: -1b2 + b2 = 0
-4 + a2 + b2 + 2i + -4iz = 0 + -2i + 2i + 4iz + -4iz
-4 + a2 + b2 + 2i + -4iz = -2i + 2i + 4iz + -4iz

Combine like terms: -2i + 2i = 0
-4 + a2 + b2 + 2i + -4iz = 0 + 4iz + -4iz
-4 + a2 + b2 + 2i + -4iz = 4iz + -4iz

Combine like terms: 4iz + -4iz = 0
-4 + a2 + b2 + 2i + -4iz = 0

The solution to this equation could not be determined.

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