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