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Simplifying (2 + 1)(4 + 5i) = 0 Combine like terms: 2 + 1 = 3 (3)(4 + 5i) = 0 (4 * 3 + 5i * 3) = 0 (12 + 15i) = 0 Solving 12 + 15i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 15i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 15i = 0 + -12 15i = 0 + -12 Combine like terms: 0 + -12 = -12 15i = -12 Divide each side by '15'. i = -0.8 Simplifying i = -0.8
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