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Simplifying x4 + 2ix3 + x2 + -8x + -1 = 0 Reorder the terms: -1 + 2ix3 + -8x + x2 + x4 = 0 Solving -1 + 2ix3 + -8x + x2 + x4 = 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 + 2ix3 + -8x + x2 + 1 + x4 = 0 + 1 Reorder the terms: -1 + 1 + 2ix3 + -8x + x2 + x4 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2ix3 + -8x + x2 + x4 = 0 + 1 2ix3 + -8x + x2 + x4 = 0 + 1 Combine like terms: 0 + 1 = 1 2ix3 + -8x + x2 + x4 = 1 Add '8x' to each side of the equation. 2ix3 + -8x + x2 + 8x + x4 = 1 + 8x Reorder the terms: 2ix3 + -8x + 8x + x2 + x4 = 1 + 8x Combine like terms: -8x + 8x = 0 2ix3 + 0 + x2 + x4 = 1 + 8x 2ix3 + x2 + x4 = 1 + 8x Add '-1x2' to each side of the equation. 2ix3 + x2 + -1x2 + x4 = 1 + 8x + -1x2 Combine like terms: x2 + -1x2 = 0 2ix3 + 0 + x4 = 1 + 8x + -1x2 2ix3 + x4 = 1 + 8x + -1x2 Add '-1x4' to each side of the equation. 2ix3 + x4 + -1x4 = 1 + 8x + -1x2 + -1x4 Combine like terms: x4 + -1x4 = 0 2ix3 + 0 = 1 + 8x + -1x2 + -1x4 2ix3 = 1 + 8x + -1x2 + -1x4 Divide each side by '2x3'. i = 0.5x-3 + 4x-2 + -0.5x-1 + -0.5x Simplifying i = 0.5x-3 + 4x-2 + -0.5x-1 + -0.5x
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