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Simplifying x2 + -2x + 2i + 1 = 0 Reorder the terms: 1 + 2i + -2x + x2 = 0 Solving 1 + 2i + -2x + 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 + 2i + -2x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 2i + -2x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2i + -2x + x2 = 0 + -1 2i + -2x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 2i + -2x + x2 = -1 Add '2x' to each side of the equation. 2i + -2x + 2x + x2 = -1 + 2x Combine like terms: -2x + 2x = 0 2i + 0 + x2 = -1 + 2x 2i + x2 = -1 + 2x Add '-1x2' to each side of the equation. 2i + x2 + -1x2 = -1 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 2i + 0 = -1 + 2x + -1x2 2i = -1 + 2x + -1x2 Divide each side by '2'. i = -0.5 + x + -0.5x2 Simplifying i = -0.5 + x + -0.5x2
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