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Simplifying y + 5i = (2x + i)(x + 2i) Reorder the terms: 5i + y = (2x + i)(x + 2i) Reorder the terms: 5i + y = (i + 2x)(x + 2i) Reorder the terms: 5i + y = (i + 2x)(2i + x) Multiply (i + 2x) * (2i + x) 5i + y = (i(2i + x) + 2x * (2i + x)) 5i + y = ((2i * i + x * i) + 2x * (2i + x)) Reorder the terms: 5i + y = ((ix + 2i2) + 2x * (2i + x)) 5i + y = ((ix + 2i2) + 2x * (2i + x)) 5i + y = (ix + 2i2 + (2i * 2x + x * 2x)) 5i + y = (ix + 2i2 + (4ix + 2x2)) Reorder the terms: 5i + y = (ix + 4ix + 2i2 + 2x2) Combine like terms: ix + 4ix = 5ix 5i + y = (5ix + 2i2 + 2x2) Solving 5i + y = 5ix + 2i2 + 2x2 Solving for variable 'i'. Reorder the terms: 5i + -5ix + -2i2 + -2x2 + y = 5ix + 2i2 + 2x2 + -5ix + -2i2 + -2x2 Reorder the terms: 5i + -5ix + -2i2 + -2x2 + y = 5ix + -5ix + 2i2 + -2i2 + 2x2 + -2x2 Combine like terms: 5ix + -5ix = 0 5i + -5ix + -2i2 + -2x2 + y = 0 + 2i2 + -2i2 + 2x2 + -2x2 5i + -5ix + -2i2 + -2x2 + y = 2i2 + -2i2 + 2x2 + -2x2 Combine like terms: 2i2 + -2i2 = 0 5i + -5ix + -2i2 + -2x2 + y = 0 + 2x2 + -2x2 5i + -5ix + -2i2 + -2x2 + y = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 5i + -5ix + -2i2 + -2x2 + y = 0 The solution to this equation could not be determined.
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