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Simplifying (3 + 2i3)(x + iy) = 4 + i9 Reorder the terms: (3 + 2i3)(iy + x) = 4 + i9 Multiply (3 + 2i3) * (iy + x) (3(iy + x) + 2i3 * (iy + x)) = 4 + i9 ((iy * 3 + x * 3) + 2i3 * (iy + x)) = 4 + i9 ((3iy + 3x) + 2i3 * (iy + x)) = 4 + i9 (3iy + 3x + (iy * 2i3 + x * 2i3)) = 4 + i9 Reorder the terms: (3iy + 3x + (2i3x + 2i4y)) = 4 + i9 (3iy + 3x + (2i3x + 2i4y)) = 4 + i9 Reorder the terms: (3iy + 2i3x + 2i4y + 3x) = 4 + i9 (3iy + 2i3x + 2i4y + 3x) = 4 + i9 Solving 3iy + 2i3x + 2i4y + 3x = 4 + i9 Solving for variable 'i'. Reorder the terms: -4 + 3iy + 2i3x + 2i4y + -1i9 + 3x = 4 + i9 + -4 + -1i9 Reorder the terms: -4 + 3iy + 2i3x + 2i4y + -1i9 + 3x = 4 + -4 + i9 + -1i9 Combine like terms: 4 + -4 = 0 -4 + 3iy + 2i3x + 2i4y + -1i9 + 3x = 0 + i9 + -1i9 -4 + 3iy + 2i3x + 2i4y + -1i9 + 3x = i9 + -1i9 Combine like terms: i9 + -1i9 = 0 -4 + 3iy + 2i3x + 2i4y + -1i9 + 3x = 0 The solution to this equation could not be determined.
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