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Simplifying (3 + 7i) + (2 + 5i) = 0 Remove parenthesis around (3 + 7i) 3 + 7i + (2 + 5i) = 0 Remove parenthesis around (2 + 5i) 3 + 7i + 2 + 5i = 0 Reorder the terms: 3 + 2 + 7i + 5i = 0 Combine like terms: 3 + 2 = 5 5 + 7i + 5i = 0 Combine like terms: 7i + 5i = 12i 5 + 12i = 0 Solving 5 + 12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 12i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 12i = 0 + -5 12i = 0 + -5 Combine like terms: 0 + -5 = -5 12i = -5 Divide each side by '12'. i = -0.4166666667 Simplifying i = -0.4166666667
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