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Simplifying (2 + 3i) * 2 = 0 Reorder the terms for easier multiplication: 2(2 + 3i) = 0 (2 * 2 + 3i * 2) = 0 (4 + 6i) = 0 Solving 4 + 6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6i = 0 + -4 6i = 0 + -4 Combine like terms: 0 + -4 = -4 6i = -4 Divide each side by '6'. i = -0.6666666667 Simplifying i = -0.6666666667
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