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Simplifying (x + (3 + 5i))(x + (3 + 5i)) = 0 Remove parenthesis around (3 + 5i) (x + 3 + 5i)(x + (3 + 5i)) = 0 Reorder the terms: (3 + 5i + x)(x + (3 + 5i)) = 0 Remove parenthesis around (3 + 5i) (3 + 5i + x)(x + 3 + 5i) = 0 Reorder the terms: (3 + 5i + x)(3 + 5i + x) = 0 Multiply (3 + 5i + x) * (3 + 5i + x) (3(3 + 5i + x) + 5i * (3 + 5i + x) + x(3 + 5i + x)) = 0 ((3 * 3 + 5i * 3 + x * 3) + 5i * (3 + 5i + x) + x(3 + 5i + x)) = 0 ((9 + 15i + 3x) + 5i * (3 + 5i + x) + x(3 + 5i + x)) = 0 (9 + 15i + 3x + (3 * 5i + 5i * 5i + x * 5i) + x(3 + 5i + x)) = 0 Reorder the terms: (9 + 15i + 3x + (15i + 5ix + 25i2) + x(3 + 5i + x)) = 0 (9 + 15i + 3x + (15i + 5ix + 25i2) + x(3 + 5i + x)) = 0 (9 + 15i + 3x + 15i + 5ix + 25i2 + (3 * x + 5i * x + x * x)) = 0 Reorder the terms: (9 + 15i + 3x + 15i + 5ix + 25i2 + (5ix + 3x + x2)) = 0 (9 + 15i + 3x + 15i + 5ix + 25i2 + (5ix + 3x + x2)) = 0 Reorder the terms: (9 + 15i + 15i + 5ix + 5ix + 25i2 + 3x + 3x + x2) = 0 Combine like terms: 15i + 15i = 30i (9 + 30i + 5ix + 5ix + 25i2 + 3x + 3x + x2) = 0 Combine like terms: 5ix + 5ix = 10ix (9 + 30i + 10ix + 25i2 + 3x + 3x + x2) = 0 Combine like terms: 3x + 3x = 6x (9 + 30i + 10ix + 25i2 + 6x + x2) = 0 Solving 9 + 30i + 10ix + 25i2 + 6x + x2 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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