a^2+2bi-b^2=i

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Solution for a^2+2bi-b^2=i equation: 


Simplifying
a2 + 2bi + -1b2 = i

Solving
a2 + 2bi + -1b2 = i

Solving for variable 'a'.

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

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

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

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

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

Simplifying
a2 = -2bi + b2 + i

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

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

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

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

The solution to this equation could not be determined.

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