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Simplifying 1 + (x + y) * i = y + 3xi Reorder the terms for easier multiplication: 1 + i(x + y) = y + 3xi 1 + (x * i + y * i) = y + 3xi 1 + (ix + iy) = y + 3xi Reorder the terms: 1 + ix + iy = 3ix + y Solving 1 + ix + iy = 3ix + y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3ix' to each side of the equation. 1 + ix + -3ix + iy = 3ix + -3ix + y Combine like terms: ix + -3ix = -2ix 1 + -2ix + iy = 3ix + -3ix + y Combine like terms: 3ix + -3ix = 0 1 + -2ix + iy = 0 + y 1 + -2ix + iy = y Add '-1' to each side of the equation. 1 + -2ix + -1 + iy = -1 + y Reorder the terms: 1 + -1 + -2ix + iy = -1 + y Combine like terms: 1 + -1 = 0 0 + -2ix + iy = -1 + y -2ix + iy = -1 + y Reorder the terms: 1 + -2ix + iy + -1y = -1 + y + 1 + -1y Reorder the terms: 1 + -2ix + iy + -1y = -1 + 1 + y + -1y Combine like terms: -1 + 1 = 0 1 + -2ix + iy + -1y = 0 + y + -1y 1 + -2ix + iy + -1y = y + -1y Combine like terms: y + -1y = 0 1 + -2ix + iy + -1y = 0 The solution to this equation could not be determined.
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