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Simplifying abs(z + -1i) = z(z + -1i) Reorder the terms: abs(-1i + z) = z(z + -1i) (-1i * abs + z * abs) = z(z + -1i) (-1abis + absz) = z(z + -1i) Reorder the terms: -1abis + absz = z(-1i + z) -1abis + absz = (-1i * z + z * z) -1abis + absz = (-1iz + z2) Solving -1abis + absz = -1iz + z2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -1abis + absz + iz + -1z2 = -1iz + iz + z2 + -1z2 Combine like terms: -1iz + iz = 0 -1abis + absz + iz + -1z2 = 0 + z2 + -1z2 -1abis + absz + iz + -1z2 = z2 + -1z2 Combine like terms: z2 + -1z2 = 0 -1abis + absz + iz + -1z2 = 0 The solution to this equation could not be determined.
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