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