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Simplifying (4 + 9i) * 2 = 0 Reorder the terms for easier multiplication: 2(4 + 9i) = 0 (4 * 2 + 9i * 2) = 0 (8 + 18i) = 0 Solving 8 + 18i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 18i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 18i = 0 + -8 18i = 0 + -8 Combine like terms: 0 + -8 = -8 18i = -8 Divide each side by '18'. i = -0.4444444444 Simplifying i = -0.4444444444
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