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Simplifying i2(1 + -1i)(1 + -1i) = 3x + yi + i(y + xi) Multiply (1 + -1i) * (1 + -1i) i2(1(1 + -1i) + -1i * (1 + -1i)) = 3x + yi + i(y + xi) i2((1 * 1 + -1i * 1) + -1i * (1 + -1i)) = 3x + yi + i(y + xi) i2((1 + -1i) + -1i * (1 + -1i)) = 3x + yi + i(y + xi) i2(1 + -1i + (1 * -1i + -1i * -1i)) = 3x + yi + i(y + xi) i2(1 + -1i + (-1i + 1i2)) = 3x + yi + i(y + xi) Combine like terms: -1i + -1i = -2i i2(1 + -2i + 1i2) = 3x + yi + i(y + xi) (1 * i2 + -2i * i2 + 1i2 * i2) = 3x + yi + i(y + xi) (1i2 + -2i3 + 1i4) = 3x + yi + i(y + xi) Reorder the terms: 1i2 + -2i3 + 1i4 = 3x + iy + i(ix + y) 1i2 + -2i3 + 1i4 = 3x + iy + (ix * i + y * i) Reorder the terms: 1i2 + -2i3 + 1i4 = 3x + iy + (iy + i2x) 1i2 + -2i3 + 1i4 = 3x + iy + (iy + i2x) Reorder the terms: 1i2 + -2i3 + 1i4 = iy + iy + i2x + 3x Combine like terms: iy + iy = 2iy 1i2 + -2i3 + 1i4 = 2iy + i2x + 3x Solving 1i2 + -2i3 + 1i4 = 2iy + i2x + 3x Solving for variable 'i'. Reorder the terms: -2iy + 1i2 + -1i2x + -2i3 + 1i4 + -3x = 2iy + i2x + 3x + -2iy + -1i2x + -3x Reorder the terms: -2iy + 1i2 + -1i2x + -2i3 + 1i4 + -3x = 2iy + -2iy + i2x + -1i2x + 3x + -3x Combine like terms: 2iy + -2iy = 0 -2iy + 1i2 + -1i2x + -2i3 + 1i4 + -3x = 0 + i2x + -1i2x + 3x + -3x -2iy + 1i2 + -1i2x + -2i3 + 1i4 + -3x = i2x + -1i2x + 3x + -3x Combine like terms: i2x + -1i2x = 0 -2iy + 1i2 + -1i2x + -2i3 + 1i4 + -3x = 0 + 3x + -3x -2iy + 1i2 + -1i2x + -2i3 + 1i4 + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -2iy + 1i2 + -1i2x + -2i3 + 1i4 + -3x = 0 The solution to this equation could not be determined.
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