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Simplifying x2 + y2 + -2 + (x + 3y + -2) * i = 0 Reorder the terms: x2 + y2 + -2 + (-2 + x + 3y) * i = 0 Reorder the terms for easier multiplication: x2 + y2 + -2 + i(-2 + x + 3y) = 0 x2 + y2 + -2 + (-2 * i + x * i + 3y * i) = 0 x2 + y2 + -2 + (-2i + ix + 3iy) = 0 Reorder the terms: -2 + -2i + ix + 3iy + x2 + y2 = 0 Solving -2 + -2i + ix + 3iy + x2 + y2 = 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 + -2i + ix + 3iy + x2 + 2 + y2 = 0 + 2 Reorder the terms: -2 + 2 + -2i + ix + 3iy + x2 + y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2i + ix + 3iy + x2 + y2 = 0 + 2 -2i + ix + 3iy + x2 + y2 = 0 + 2 Combine like terms: 0 + 2 = 2 -2i + ix + 3iy + x2 + y2 = 2 Add '-1x2' to each side of the equation. -2i + ix + 3iy + x2 + -1x2 + y2 = 2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2i + ix + 3iy + 0 + y2 = 2 + -1x2 -2i + ix + 3iy + y2 = 2 + -1x2 Add '-1y2' to each side of the equation. -2i + ix + 3iy + y2 + -1y2 = 2 + -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 -2i + ix + 3iy + 0 = 2 + -1x2 + -1y2 -2i + ix + 3iy = 2 + -1x2 + -1y2 Reorder the terms: -2 + -2i + ix + 3iy + x2 + y2 = 2 + -1x2 + -1y2 + -2 + x2 + y2 Reorder the terms: -2 + -2i + ix + 3iy + x2 + y2 = 2 + -2 + -1x2 + x2 + -1y2 + y2 Combine like terms: 2 + -2 = 0 -2 + -2i + ix + 3iy + x2 + y2 = 0 + -1x2 + x2 + -1y2 + y2 -2 + -2i + ix + 3iy + x2 + y2 = -1x2 + x2 + -1y2 + y2 Combine like terms: -1x2 + x2 = 0 -2 + -2i + ix + 3iy + x2 + y2 = 0 + -1y2 + y2 -2 + -2i + ix + 3iy + x2 + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -2 + -2i + ix + 3iy + x2 + y2 = 0 The solution to this equation could not be determined.
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