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Simplifying x(x + i) + y(y + -1i) + i = 13 Reorder the terms: x(i + x) + y(y + -1i) + i = 13 (i * x + x * x) + y(y + -1i) + i = 13 (ix + x2) + y(y + -1i) + i = 13 Reorder the terms: ix + x2 + y(-1i + y) + i = 13 ix + x2 + (-1i * y + y * y) + i = 13 ix + x2 + (-1iy + y2) + i = 13 Reorder the terms: i + ix + -1iy + x2 + y2 = 13 Solving i + ix + -1iy + x2 + y2 = 13 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1x2' to each side of the equation. i + ix + -1iy + x2 + -1x2 + y2 = 13 + -1x2 Combine like terms: x2 + -1x2 = 0 i + ix + -1iy + 0 + y2 = 13 + -1x2 i + ix + -1iy + y2 = 13 + -1x2 Add '-1y2' to each side of the equation. i + ix + -1iy + y2 + -1y2 = 13 + -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 i + ix + -1iy + 0 = 13 + -1x2 + -1y2 i + ix + -1iy = 13 + -1x2 + -1y2 Reorder the terms: -13 + i + ix + -1iy + x2 + y2 = 13 + -1x2 + -1y2 + -13 + x2 + y2 Reorder the terms: -13 + i + ix + -1iy + x2 + y2 = 13 + -13 + -1x2 + x2 + -1y2 + y2 Combine like terms: 13 + -13 = 0 -13 + i + ix + -1iy + x2 + y2 = 0 + -1x2 + x2 + -1y2 + y2 -13 + i + ix + -1iy + x2 + y2 = -1x2 + x2 + -1y2 + y2 Combine like terms: -1x2 + x2 = 0 -13 + i + ix + -1iy + x2 + y2 = 0 + -1y2 + y2 -13 + i + ix + -1iy + x2 + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -13 + i + ix + -1iy + x2 + y2 = 0 The solution to this equation could not be determined.
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