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