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Simplifying (x2 + -2x) + y2i = 8 + (2y + -1) * i Reorder the terms: (-2x + x2) + y2i = 8 + (2y + -1) * i Remove parenthesis around (-2x + x2) -2x + x2 + y2i = 8 + (2y + -1) * i Reorder the terms: iy2 + -2x + x2 = 8 + (2y + -1) * i Reorder the terms: iy2 + -2x + x2 = 8 + (-1 + 2y) * i Reorder the terms for easier multiplication: iy2 + -2x + x2 = 8 + i(-1 + 2y) iy2 + -2x + x2 = 8 + (-1 * i + 2y * i) iy2 + -2x + x2 = 8 + (-1i + 2iy) Solving iy2 + -2x + x2 = 8 + -1i + 2iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. iy2 + -2x + i + x2 = 8 + -1i + i + 2iy Reorder the terms: i + iy2 + -2x + x2 = 8 + -1i + i + 2iy Combine like terms: -1i + i = 0 i + iy2 + -2x + x2 = 8 + 0 + 2iy i + iy2 + -2x + x2 = 8 + 2iy Add '-2iy' to each side of the equation. i + iy2 + -2x + -2iy + x2 = 8 + 2iy + -2iy Reorder the terms: i + -2iy + iy2 + -2x + x2 = 8 + 2iy + -2iy Combine like terms: 2iy + -2iy = 0 i + -2iy + iy2 + -2x + x2 = 8 + 0 i + -2iy + iy2 + -2x + x2 = 8 Add '2x' to each side of the equation. i + -2iy + iy2 + -2x + 2x + x2 = 8 + 2x Combine like terms: -2x + 2x = 0 i + -2iy + iy2 + 0 + x2 = 8 + 2x i + -2iy + iy2 + x2 = 8 + 2x Add '-1x2' to each side of the equation. i + -2iy + iy2 + x2 + -1x2 = 8 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 i + -2iy + iy2 + 0 = 8 + 2x + -1x2 i + -2iy + iy2 = 8 + 2x + -1x2 Reorder the terms: -8 + i + -2iy + iy2 + -2x + x2 = 8 + 2x + -1x2 + -8 + -2x + x2 Reorder the terms: -8 + i + -2iy + iy2 + -2x + x2 = 8 + -8 + 2x + -2x + -1x2 + x2 Combine like terms: 8 + -8 = 0 -8 + i + -2iy + iy2 + -2x + x2 = 0 + 2x + -2x + -1x2 + x2 -8 + i + -2iy + iy2 + -2x + x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 -8 + i + -2iy + iy2 + -2x + x2 = 0 + -1x2 + x2 -8 + i + -2iy + iy2 + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -8 + i + -2iy + iy2 + -2x + x2 = 0 The solution to this equation could not be determined.
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