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Simplifying x2 + 3x + (3 + -1i) = 0 Remove parenthesis around (3 + -1i) x2 + 3x + 3 + -1i = 0 Reorder the terms: 3 + -1i + 3x + x2 = 0 Solving 3 + -1i + 3x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1i + 3x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -1i + 3x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1i + 3x + x2 = 0 + -3 -1i + 3x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1i + 3x + x2 = -3 Add '-3x' to each side of the equation. -1i + 3x + -3x + x2 = -3 + -3x Combine like terms: 3x + -3x = 0 -1i + 0 + x2 = -3 + -3x -1i + x2 = -3 + -3x Add '-1x2' to each side of the equation. -1i + x2 + -1x2 = -3 + -3x + -1x2 Combine like terms: x2 + -1x2 = 0 -1i + 0 = -3 + -3x + -1x2 -1i = -3 + -3x + -1x2 Divide each side by '-1'. i = 3 + 3x + x2 Simplifying i = 3 + 3x + x2
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