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Simplifying x + (x + y) * i = 3 + 8i Reorder the terms for easier multiplication: x + i(x + y) = 3 + 8i x + (x * i + y * i) = 3 + 8i x + (ix + iy) = 3 + 8i Reorder the terms: ix + iy + x = 3 + 8i Solving ix + iy + x = 3 + 8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. ix + iy + -8i + x = 3 + 8i + -8i Reorder the terms: -8i + ix + iy + x = 3 + 8i + -8i Combine like terms: 8i + -8i = 0 -8i + ix + iy + x = 3 + 0 -8i + ix + iy + x = 3 Add '-1x' to each side of the equation. -8i + ix + iy + x + -1x = 3 + -1x Combine like terms: x + -1x = 0 -8i + ix + iy + 0 = 3 + -1x -8i + ix + iy = 3 + -1x Reorder the terms: -3 + -8i + ix + iy + x = 3 + -1x + -3 + x Reorder the terms: -3 + -8i + ix + iy + x = 3 + -3 + -1x + x Combine like terms: 3 + -3 = 0 -3 + -8i + ix + iy + x = 0 + -1x + x -3 + -8i + ix + iy + x = -1x + x Combine like terms: -1x + x = 0 -3 + -8i + ix + iy + x = 0 The solution to this equation could not be determined.
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