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Simplifying (5 + 6i) + -1(3 + -10i) = 0 Remove parenthesis around (5 + 6i) 5 + 6i + -1(3 + -10i) = 0 5 + 6i + (3 * -1 + -10i * -1) = 0 5 + 6i + (-3 + 10i) = 0 Reorder the terms: 5 + -3 + 6i + 10i = 0 Combine like terms: 5 + -3 = 2 2 + 6i + 10i = 0 Combine like terms: 6i + 10i = 16i 2 + 16i = 0 Solving 2 + 16i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 16i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 16i = 0 + -2 16i = 0 + -2 Combine like terms: 0 + -2 = -2 16i = -2 Divide each side by '16'. i = -0.125 Simplifying i = -0.125
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