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Simplifying x2 + 2ix + 2 = 0 Reorder the terms: 2 + 2ix + x2 = 0 Solving 2 + 2ix + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2ix + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 2ix + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2ix + x2 = 0 + -2 2ix + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 2ix + x2 = -2 Add '-1x2' to each side of the equation. 2ix + x2 + -1x2 = -2 + -1x2 Combine like terms: x2 + -1x2 = 0 2ix + 0 = -2 + -1x2 2ix = -2 + -1x2 Divide each side by '2x'. i = -1x-1 + -0.5x Simplifying i = -1x-1 + -0.5x
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