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Simplifying (4 + 3i)(x + Yi) = (12 + -3i) Reorder the terms: (4 + 3i)(iY + x) = (12 + -3i) Multiply (4 + 3i) * (iY + x) (4(iY + x) + 3i * (iY + x)) = (12 + -3i) ((iY * 4 + x * 4) + 3i * (iY + x)) = (12 + -3i) ((4iY + 4x) + 3i * (iY + x)) = (12 + -3i) (4iY + 4x + (iY * 3i + x * 3i)) = (12 + -3i) Reorder the terms: (4iY + 4x + (3ix + 3i2Y)) = (12 + -3i) (4iY + 4x + (3ix + 3i2Y)) = (12 + -3i) Reorder the terms: (4iY + 3ix + 3i2Y + 4x) = (12 + -3i) (4iY + 3ix + 3i2Y + 4x) = (12 + -3i) Remove parenthesis around (12 + -3i) 4iY + 3ix + 3i2Y + 4x = 12 + -3i Solving 4iY + 3ix + 3i2Y + 4x = 12 + -3i Solving for variable 'i'. Reorder the terms: -12 + 3i + 4iY + 3ix + 3i2Y + 4x = 12 + -3i + -12 + 3i Reorder the terms: -12 + 3i + 4iY + 3ix + 3i2Y + 4x = 12 + -12 + -3i + 3i Combine like terms: 12 + -12 = 0 -12 + 3i + 4iY + 3ix + 3i2Y + 4x = 0 + -3i + 3i -12 + 3i + 4iY + 3ix + 3i2Y + 4x = -3i + 3i Combine like terms: -3i + 3i = 0 -12 + 3i + 4iY + 3ix + 3i2Y + 4x = 0 The solution to this equation could not be determined.
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