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Simplifying x * x + -1(5 + -1i) + (18 + i) = 0 Multiply x * x x2 + -1(5 + -1i) + (18 + i) = 0 x2 + (5 * -1 + -1i * -1) + (18 + i) = 0 x2 + (-5 + 1i) + (18 + i) = 0 Remove parenthesis around (18 + i) x2 + -5 + 1i + 18 + i = 0 Reorder the terms: -5 + 18 + 1i + i + x2 = 0 Combine like terms: -5 + 18 = 13 13 + 1i + i + x2 = 0 Combine like terms: 1i + i = 2i 13 + 2i + x2 = 0 Solving 13 + 2i + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 2i + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + 2i + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2i + x2 = 0 + -13 2i + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 2i + x2 = -13 Add '-1x2' to each side of the equation. 2i + x2 + -1x2 = -13 + -1x2 Combine like terms: x2 + -1x2 = 0 2i + 0 = -13 + -1x2 2i = -13 + -1x2 Divide each side by '2'. i = -6.5 + -0.5x2 Simplifying i = -6.5 + -0.5x2
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