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Simplifying (3 + -4i)(2 + 1) = 0 Combine like terms: 2 + 1 = 3 (3 + -4i)(3) = 0 Reorder the terms for easier multiplication: 3(3 + -4i) = 0 (3 * 3 + -4i * 3) = 0 (9 + -12i) = 0 Solving 9 + -12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -12i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -12i = 0 + -9 -12i = 0 + -9 Combine like terms: 0 + -9 = -9 -12i = -9 Divide each side by '-12'. i = 0.75 Simplifying i = 0.75
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