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Simplifying (2 + 3i) + (4 + 5i) = 0 Remove parenthesis around (2 + 3i) 2 + 3i + (4 + 5i) = 0 Remove parenthesis around (4 + 5i) 2 + 3i + 4 + 5i = 0 Reorder the terms: 2 + 4 + 3i + 5i = 0 Combine like terms: 2 + 4 = 6 6 + 3i + 5i = 0 Combine like terms: 3i + 5i = 8i 6 + 8i = 0 Solving 6 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 8i = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 8i = 0 + -6 8i = 0 + -6 Combine like terms: 0 + -6 = -6 8i = -6 Divide each side by '8'. i = -0.75 Simplifying i = -0.75
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