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Simplifying (3x + 4i)(4x + 3i) = 2 Reorder the terms: (4i + 3x)(4x + 3i) = 2 Reorder the terms: (4i + 3x)(3i + 4x) = 2 Multiply (4i + 3x) * (3i + 4x) (4i * (3i + 4x) + 3x * (3i + 4x)) = 2 ((3i * 4i + 4x * 4i) + 3x * (3i + 4x)) = 2 Reorder the terms: ((16ix + 12i2) + 3x * (3i + 4x)) = 2 ((16ix + 12i2) + 3x * (3i + 4x)) = 2 (16ix + 12i2 + (3i * 3x + 4x * 3x)) = 2 (16ix + 12i2 + (9ix + 12x2)) = 2 Reorder the terms: (16ix + 9ix + 12i2 + 12x2) = 2 Combine like terms: 16ix + 9ix = 25ix (25ix + 12i2 + 12x2) = 2 Solving 25ix + 12i2 + 12x2 = 2 Solving for variable 'i'. Reorder the terms: -2 + 25ix + 12i2 + 12x2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 25ix + 12i2 + 12x2 = 0 The solution to this equation could not be determined.
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