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Simplifying 5 + 2i = (2 + -1i)(m + in) Reorder the terms: 5 + 2i = (2 + -1i)(in + m) Multiply (2 + -1i) * (in + m) 5 + 2i = (2(in + m) + -1i * (in + m)) 5 + 2i = ((in * 2 + m * 2) + -1i * (in + m)) 5 + 2i = ((2in + 2m) + -1i * (in + m)) 5 + 2i = (2in + 2m + (in * -1i + m * -1i)) Reorder the terms: 5 + 2i = (2in + 2m + (-1im + -1i2n)) 5 + 2i = (2in + 2m + (-1im + -1i2n)) Reorder the terms: 5 + 2i = (-1im + 2in + -1i2n + 2m) 5 + 2i = (-1im + 2in + -1i2n + 2m) Solving 5 + 2i = -1im + 2in + -1i2n + 2m Solving for variable 'i'. Reorder the terms: 5 + 2i + im + -2in + i2n + -2m = -1im + im + 2in + -2in + -1i2n + i2n + 2m + -2m Combine like terms: -1im + im = 0 5 + 2i + im + -2in + i2n + -2m = 0 + 2in + -2in + -1i2n + i2n + 2m + -2m 5 + 2i + im + -2in + i2n + -2m = 2in + -2in + -1i2n + i2n + 2m + -2m Combine like terms: 2in + -2in = 0 5 + 2i + im + -2in + i2n + -2m = 0 + -1i2n + i2n + 2m + -2m 5 + 2i + im + -2in + i2n + -2m = -1i2n + i2n + 2m + -2m Combine like terms: -1i2n + i2n = 0 5 + 2i + im + -2in + i2n + -2m = 0 + 2m + -2m 5 + 2i + im + -2in + i2n + -2m = 2m + -2m Combine like terms: 2m + -2m = 0 5 + 2i + im + -2in + i2n + -2m = 0 The solution to this equation could not be determined.
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