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Simplifying x3 + 2x2 + -2ix + x = 0 Reorder the terms: -2ix + x + 2x2 + x3 = 0 Solving -2ix + x + 2x2 + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1x' to each side of the equation. -2ix + x + 2x2 + -1x + x3 = 0 + -1x Reorder the terms: -2ix + x + -1x + 2x2 + x3 = 0 + -1x Combine like terms: x + -1x = 0 -2ix + 0 + 2x2 + x3 = 0 + -1x -2ix + 2x2 + x3 = 0 + -1x Remove the zero: -2ix + 2x2 + x3 = -1x Add '-2x2' to each side of the equation. -2ix + 2x2 + -2x2 + x3 = -1x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -2ix + 0 + x3 = -1x + -2x2 -2ix + x3 = -1x + -2x2 Add '-1x3' to each side of the equation. -2ix + x3 + -1x3 = -1x + -2x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -2ix + 0 = -1x + -2x2 + -1x3 -2ix = -1x + -2x2 + -1x3 Divide each side by '-2x'. i = 0.5 + x + 0.5x2 Simplifying i = 0.5 + x + 0.5x2
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