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