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Simplifying (a + ib)(a + ib) = 2i Multiply (a + bi) * (a + bi) (a(a + bi) + bi(a + bi)) = 2i ((a * a + bi * a) + bi(a + bi)) = 2i Reorder the terms: ((abi + a2) + bi(a + bi)) = 2i ((abi + a2) + bi(a + bi)) = 2i (abi + a2 + (a * bi + bi * bi)) = 2i (abi + a2 + (abi + b2i2)) = 2i Reorder the terms: (abi + abi + a2 + b2i2) = 2i Combine like terms: abi + abi = 2abi (2abi + a2 + b2i2) = 2i Solving 2abi + a2 + b2i2 = 2i Solving for variable 'a'. Combine like terms: 2i + -2i = 0 2abi + a2 + b2i2 + -2i = 0 The solution to this equation could not be determined.
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