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Simplifying a2 + 2bi + -1b2 = 3 + -4i Solving a2 + 2bi + -1b2 = 3 + -4i 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 = 3 + -2bi + -4i Combine like terms: 2bi + -2bi = 0 a2 + 0 + -1b2 = 3 + -2bi + -4i a2 + -1b2 = 3 + -2bi + -4i Add 'b2' to each side of the equation. a2 + -1b2 + b2 = 3 + -2bi + b2 + -4i Combine like terms: -1b2 + b2 = 0 a2 + 0 = 3 + -2bi + b2 + -4i a2 = 3 + -2bi + b2 + -4i Simplifying a2 = 3 + -2bi + b2 + -4i Reorder the terms: -3 + a2 + 2bi + -1b2 + 4i = 3 + -2bi + b2 + -4i + -3 + 2bi + -1b2 + 4i Reorder the terms: -3 + a2 + 2bi + -1b2 + 4i = 3 + -3 + -2bi + 2bi + b2 + -1b2 + -4i + 4i Combine like terms: 3 + -3 = 0 -3 + a2 + 2bi + -1b2 + 4i = 0 + -2bi + 2bi + b2 + -1b2 + -4i + 4i -3 + a2 + 2bi + -1b2 + 4i = -2bi + 2bi + b2 + -1b2 + -4i + 4i Combine like terms: -2bi + 2bi = 0 -3 + a2 + 2bi + -1b2 + 4i = 0 + b2 + -1b2 + -4i + 4i -3 + a2 + 2bi + -1b2 + 4i = b2 + -1b2 + -4i + 4i Combine like terms: b2 + -1b2 = 0 -3 + a2 + 2bi + -1b2 + 4i = 0 + -4i + 4i -3 + a2 + 2bi + -1b2 + 4i = -4i + 4i Combine like terms: -4i + 4i = 0 -3 + a2 + 2bi + -1b2 + 4i = 0 The solution to this equation could not be determined.
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