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Simplifying (5 + 2i) + (8 + 9i) = 0 Remove parenthesis around (5 + 2i) 5 + 2i + (8 + 9i) = 0 Remove parenthesis around (8 + 9i) 5 + 2i + 8 + 9i = 0 Reorder the terms: 5 + 8 + 2i + 9i = 0 Combine like terms: 5 + 8 = 13 13 + 2i + 9i = 0 Combine like terms: 2i + 9i = 11i 13 + 11i = 0 Solving 13 + 11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 11i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 11i = 0 + -13 11i = 0 + -13 Combine like terms: 0 + -13 = -13 11i = -13 Divide each side by '11'. i = -1.181818182 Simplifying i = -1.181818182
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