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Simplifying x + 2i = (3 + -1yi)(2 + -1yi) Reorder the terms: 2i + x = (3 + -1yi)(2 + -1yi) Multiply (3 + -1iy) * (2 + -1iy) 2i + x = (3(2 + -1iy) + -1iy * (2 + -1iy)) 2i + x = ((2 * 3 + -1iy * 3) + -1iy * (2 + -1iy)) 2i + x = ((6 + -3iy) + -1iy * (2 + -1iy)) 2i + x = (6 + -3iy + (2 * -1iy + -1iy * -1iy)) 2i + x = (6 + -3iy + (-2iy + 1i2y2)) Combine like terms: -3iy + -2iy = -5iy 2i + x = (6 + -5iy + 1i2y2) Solving 2i + x = 6 + -5iy + 1i2y2 Solving for variable 'i'. Reorder the terms: -6 + 2i + 5iy + -1i2y2 + x = 6 + -5iy + 1i2y2 + -6 + 5iy + -1i2y2 Reorder the terms: -6 + 2i + 5iy + -1i2y2 + x = 6 + -6 + -5iy + 5iy + 1i2y2 + -1i2y2 Combine like terms: 6 + -6 = 0 -6 + 2i + 5iy + -1i2y2 + x = 0 + -5iy + 5iy + 1i2y2 + -1i2y2 -6 + 2i + 5iy + -1i2y2 + x = -5iy + 5iy + 1i2y2 + -1i2y2 Combine like terms: -5iy + 5iy = 0 -6 + 2i + 5iy + -1i2y2 + x = 0 + 1i2y2 + -1i2y2 -6 + 2i + 5iy + -1i2y2 + x = 1i2y2 + -1i2y2 Combine like terms: 1i2y2 + -1i2y2 = 0 -6 + 2i + 5iy + -1i2y2 + x = 0 The solution to this equation could not be determined.
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