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Simplifying (2 + 3)(1 + -4i) = 0 Combine like terms: 2 + 3 = 5 (5)(1 + -4i) = 0 (1 * 5 + -4i * 5) = 0 (5 + -20i) = 0 Solving 5 + -20i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -20i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -20i = 0 + -5 -20i = 0 + -5 Combine like terms: 0 + -5 = -5 -20i = -5 Divide each side by '-20'. i = 0.25 Simplifying i = 0.25
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