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Simplifying (2 + 1)(2 + -1)(4 + 3i) = 0 Combine like terms: 2 + 1 = 3 (3)(2 + -1)(4 + 3i) = 0 Combine like terms: 2 + -1 = 1 3(1)(4 + 3i) = 0 Multiply 3 * 1 3(4 + 3i) = 0 (4 * 3 + 3i * 3) = 0 (12 + 9i) = 0 Solving 12 + 9i = 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 + 9i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 9i = 0 + -12 9i = 0 + -12 Combine like terms: 0 + -12 = -12 9i = -12 Divide each side by '9'. i = -1.333333333 Simplifying i = -1.333333333
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