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Simplifying x + yi + i = 2(x + yi) + 1 Reorder the terms: i + iy + x = 2(x + yi) + 1 Reorder the terms: i + iy + x = 2(iy + x) + 1 i + iy + x = (iy * 2 + x * 2) + 1 i + iy + x = (2iy + 2x) + 1 Reorder the terms: i + iy + x = 1 + 2iy + 2x Solving i + iy + x = 1 + 2iy + 2x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2iy' to each side of the equation. i + iy + -2iy + x = 1 + 2iy + -2iy + 2x Combine like terms: iy + -2iy = -1iy i + -1iy + x = 1 + 2iy + -2iy + 2x Combine like terms: 2iy + -2iy = 0 i + -1iy + x = 1 + 0 + 2x i + -1iy + x = 1 + 2x Add '-1x' to each side of the equation. i + -1iy + x + -1x = 1 + 2x + -1x Combine like terms: x + -1x = 0 i + -1iy + 0 = 1 + 2x + -1x i + -1iy = 1 + 2x + -1x Combine like terms: 2x + -1x = 1x i + -1iy = 1 + 1x Reorder the terms: -1 + i + -1iy + -1x = 1 + 1x + -1 + -1x Reorder the terms: -1 + i + -1iy + -1x = 1 + -1 + 1x + -1x Combine like terms: 1 + -1 = 0 -1 + i + -1iy + -1x = 0 + 1x + -1x -1 + i + -1iy + -1x = 1x + -1x Combine like terms: 1x + -1x = 0 -1 + i + -1iy + -1x = 0 The solution to this equation could not be determined.
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