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Simplifying (5 + 2i) + -1(9 + -5i) = 0 Remove parenthesis around (5 + 2i) 5 + 2i + -1(9 + -5i) = 0 5 + 2i + (9 * -1 + -5i * -1) = 0 5 + 2i + (-9 + 5i) = 0 Reorder the terms: 5 + -9 + 2i + 5i = 0 Combine like terms: 5 + -9 = -4 -4 + 2i + 5i = 0 Combine like terms: 2i + 5i = 7i -4 + 7i = 0 Solving -4 + 7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7i = 0 + 4 7i = 0 + 4 Combine like terms: 0 + 4 = 4 7i = 4 Divide each side by '7'. i = 0.5714285714 Simplifying i = 0.5714285714
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