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Simplifying (5 + 1)(3 + 4i) = 0 Combine like terms: 5 + 1 = 6 (6)(3 + 4i) = 0 (3 * 6 + 4i * 6) = 0 (18 + 24i) = 0 Solving 18 + 24i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 24i = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 24i = 0 + -18 24i = 0 + -18 Combine like terms: 0 + -18 = -18 24i = -18 Divide each side by '24'. i = -0.75 Simplifying i = -0.75
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