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Simplifying (3 + -2i)(x + yi) = (3 + -11i) Reorder the terms: (3 + -2i)(iy + x) = (3 + -11i) Multiply (3 + -2i) * (iy + x) (3(iy + x) + -2i * (iy + x)) = (3 + -11i) ((iy * 3 + x * 3) + -2i * (iy + x)) = (3 + -11i) ((3iy + 3x) + -2i * (iy + x)) = (3 + -11i) (3iy + 3x + (iy * -2i + x * -2i)) = (3 + -11i) Reorder the terms: (3iy + 3x + (-2ix + -2i2y)) = (3 + -11i) (3iy + 3x + (-2ix + -2i2y)) = (3 + -11i) Reorder the terms: (-2ix + 3iy + -2i2y + 3x) = (3 + -11i) (-2ix + 3iy + -2i2y + 3x) = (3 + -11i) Remove parenthesis around (3 + -11i) -2ix + 3iy + -2i2y + 3x = 3 + -11i Solving -2ix + 3iy + -2i2y + 3x = 3 + -11i Solving for variable 'i'. Reorder the terms: -3 + 11i + -2ix + 3iy + -2i2y + 3x = 3 + -11i + -3 + 11i Reorder the terms: -3 + 11i + -2ix + 3iy + -2i2y + 3x = 3 + -3 + -11i + 11i Combine like terms: 3 + -3 = 0 -3 + 11i + -2ix + 3iy + -2i2y + 3x = 0 + -11i + 11i -3 + 11i + -2ix + 3iy + -2i2y + 3x = -11i + 11i Combine like terms: -11i + 11i = 0 -3 + 11i + -2ix + 3iy + -2i2y + 3x = 0 The solution to this equation could not be determined.
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