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Simplifying (5 + 6i) + (4i + -10) = 0 Remove parenthesis around (5 + 6i) 5 + 6i + (4i + -10) = 0 Reorder the terms: 5 + 6i + (-10 + 4i) = 0 Remove parenthesis around (-10 + 4i) 5 + 6i + -10 + 4i = 0 Reorder the terms: 5 + -10 + 6i + 4i = 0 Combine like terms: 5 + -10 = -5 -5 + 6i + 4i = 0 Combine like terms: 6i + 4i = 10i -5 + 10i = 0 Solving -5 + 10i = 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 + 10i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 10i = 0 + 5 10i = 0 + 5 Combine like terms: 0 + 5 = 5 10i = 5 Divide each side by '10'. i = 0.5 Simplifying i = 0.5
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