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Simplifying (X + 3i)(y + -2i) = 12 + 5i Reorder the terms: (X + 3i)(-2i + y) = 12 + 5i Multiply (X + 3i) * (-2i + y) (X(-2i + y) + 3i * (-2i + y)) = 12 + 5i ((-2i * X + y * X) + 3i * (-2i + y)) = 12 + 5i ((-2iX + yX) + 3i * (-2i + y)) = 12 + 5i (-2iX + yX + (-2i * 3i + y * 3i)) = 12 + 5i Reorder the terms: (-2iX + yX + (3iy + -6i2)) = 12 + 5i (-2iX + yX + (3iy + -6i2)) = 12 + 5i Reorder the terms: (-2iX + 3iy + -6i2 + yX) = 12 + 5i (-2iX + 3iy + -6i2 + yX) = 12 + 5i Solving -2iX + 3iy + -6i2 + yX = 12 + 5i Solving for variable 'i'. Reorder the terms: -12 + -5i + -2iX + 3iy + -6i2 + yX = 12 + 5i + -12 + -5i Reorder the terms: -12 + -5i + -2iX + 3iy + -6i2 + yX = 12 + -12 + 5i + -5i Combine like terms: 12 + -12 = 0 -12 + -5i + -2iX + 3iy + -6i2 + yX = 0 + 5i + -5i -12 + -5i + -2iX + 3iy + -6i2 + yX = 5i + -5i Combine like terms: 5i + -5i = 0 -12 + -5i + -2iX + 3iy + -6i2 + yX = 0 The solution to this equation could not be determined.
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