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Simplifying (6 + -4i)(5 + 9) = 0 Combine like terms: 5 + 9 = 14 (6 + -4i)(14) = 0 Reorder the terms for easier multiplication: 14(6 + -4i) = 0 (6 * 14 + -4i * 14) = 0 (84 + -56i) = 0 Solving 84 + -56i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -56i = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -56i = 0 + -84 -56i = 0 + -84 Combine like terms: 0 + -84 = -84 -56i = -84 Divide each side by '-56'. i = 1.5 Simplifying i = 1.5
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