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Simplifying (2 + xi)(3 + -2i) = 12 + 5i Multiply (2 + ix) * (3 + -2i) (2(3 + -2i) + ix(3 + -2i)) = 12 + 5i ((3 * 2 + -2i * 2) + ix(3 + -2i)) = 12 + 5i ((6 + -4i) + ix(3 + -2i)) = 12 + 5i (6 + -4i + (3 * ix + -2i * ix)) = 12 + 5i (6 + -4i + (3ix + -2i2x)) = 12 + 5i (6 + -4i + 3ix + -2i2x) = 12 + 5i Solving 6 + -4i + 3ix + -2i2x = 12 + 5i Solving for variable 'i'. Reorder the terms: 6 + -12 + -4i + -5i + 3ix + -2i2x = 12 + 5i + -12 + -5i Combine like terms: 6 + -12 = -6 -6 + -4i + -5i + 3ix + -2i2x = 12 + 5i + -12 + -5i Combine like terms: -4i + -5i = -9i -6 + -9i + 3ix + -2i2x = 12 + 5i + -12 + -5i Reorder the terms: -6 + -9i + 3ix + -2i2x = 12 + -12 + 5i + -5i Combine like terms: 12 + -12 = 0 -6 + -9i + 3ix + -2i2x = 0 + 5i + -5i -6 + -9i + 3ix + -2i2x = 5i + -5i Combine like terms: 5i + -5i = 0 -6 + -9i + 3ix + -2i2x = 0 The solution to this equation could not be determined.
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