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Simplifying (4 + 4i) + (5 + 10i) = 0 Remove parenthesis around (4 + 4i) 4 + 4i + (5 + 10i) = 0 Remove parenthesis around (5 + 10i) 4 + 4i + 5 + 10i = 0 Reorder the terms: 4 + 5 + 4i + 10i = 0 Combine like terms: 4 + 5 = 9 9 + 4i + 10i = 0 Combine like terms: 4i + 10i = 14i 9 + 14i = 0 Solving 9 + 14i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 14i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 14i = 0 + -9 14i = 0 + -9 Combine like terms: 0 + -9 = -9 14i = -9 Divide each side by '14'. i = -0.6428571429 Simplifying i = -0.6428571429
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