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Simplifying (5x + 3i)(2 + -1i) = I Reorder the terms: (3i + 5x)(2 + -1i) = I Multiply (3i + 5x) * (2 + -1i) (3i * (2 + -1i) + 5x * (2 + -1i)) = I ((2 * 3i + -1i * 3i) + 5x * (2 + -1i)) = I ((6i + -3i2) + 5x * (2 + -1i)) = I (6i + -3i2 + (2 * 5x + -1i * 5x)) = I Reorder the terms: (6i + -3i2 + (-5ix + 10x)) = I (6i + -3i2 + (-5ix + 10x)) = I Reorder the terms: (6i + -5ix + -3i2 + 10x) = I (6i + -5ix + -3i2 + 10x) = I Solving 6i + -5ix + -3i2 + 10x = I Solving for variable 'i'. Reorder the terms: -1I + 6i + -5ix + -3i2 + 10x = I + -1I Combine like terms: I + -1I = 0 -1I + 6i + -5ix + -3i2 + 10x = 0 The solution to this equation could not be determined.
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