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Simplifying (x + 4 + -1i)(x + 4 + i) = y Reorder the terms: (4 + -1i + x)(x + 4 + i) = y Reorder the terms: (4 + -1i + x)(4 + i + x) = y Multiply (4 + -1i + x) * (4 + i + x) (4(4 + i + x) + -1i * (4 + i + x) + x(4 + i + x)) = y ((4 * 4 + i * 4 + x * 4) + -1i * (4 + i + x) + x(4 + i + x)) = y ((16 + 4i + 4x) + -1i * (4 + i + x) + x(4 + i + x)) = y (16 + 4i + 4x + (4 * -1i + i * -1i + x * -1i) + x(4 + i + x)) = y Reorder the terms: (16 + 4i + 4x + (-4i + -1ix + -1i2) + x(4 + i + x)) = y (16 + 4i + 4x + (-4i + -1ix + -1i2) + x(4 + i + x)) = y (16 + 4i + 4x + -4i + -1ix + -1i2 + (4 * x + i * x + x * x)) = y Reorder the terms: (16 + 4i + 4x + -4i + -1ix + -1i2 + (ix + 4x + x2)) = y (16 + 4i + 4x + -4i + -1ix + -1i2 + (ix + 4x + x2)) = y Reorder the terms: (16 + 4i + -4i + -1ix + ix + -1i2 + 4x + 4x + x2) = y Combine like terms: 4i + -4i = 0 (16 + 0 + -1ix + ix + -1i2 + 4x + 4x + x2) = y (16 + -1ix + ix + -1i2 + 4x + 4x + x2) = y Combine like terms: -1ix + ix = 0 (16 + 0 + -1i2 + 4x + 4x + x2) = y (16 + -1i2 + 4x + 4x + x2) = y Combine like terms: 4x + 4x = 8x (16 + -1i2 + 8x + x2) = y Solving 16 + -1i2 + 8x + x2 = y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -1i2 + 8x + -16 + x2 = -16 + y Reorder the terms: 16 + -16 + -1i2 + 8x + x2 = -16 + y Combine like terms: 16 + -16 = 0 0 + -1i2 + 8x + x2 = -16 + y -1i2 + 8x + x2 = -16 + y Add '-8x' to each side of the equation. -1i2 + 8x + -8x + x2 = -16 + -8x + y Combine like terms: 8x + -8x = 0 -1i2 + 0 + x2 = -16 + -8x + y -1i2 + x2 = -16 + -8x + y Add '-1x2' to each side of the equation. -1i2 + x2 + -1x2 = -16 + -8x + -1x2 + y Combine like terms: x2 + -1x2 = 0 -1i2 + 0 = -16 + -8x + -1x2 + y -1i2 = -16 + -8x + -1x2 + y Divide each side by '-1'. i2 = 16 + 8x + x2 + -1y Simplifying i2 = 16 + 8x + x2 + -1y Reorder the terms: -16 + i2 + -8x + -1x2 + y = 16 + 8x + x2 + -1y + -16 + -8x + -1x2 + y Reorder the terms: -16 + i2 + -8x + -1x2 + y = 16 + -16 + 8x + -8x + x2 + -1x2 + -1y + y Combine like terms: 16 + -16 = 0 -16 + i2 + -8x + -1x2 + y = 0 + 8x + -8x + x2 + -1x2 + -1y + y -16 + i2 + -8x + -1x2 + y = 8x + -8x + x2 + -1x2 + -1y + y Combine like terms: 8x + -8x = 0 -16 + i2 + -8x + -1x2 + y = 0 + x2 + -1x2 + -1y + y -16 + i2 + -8x + -1x2 + y = x2 + -1x2 + -1y + y Combine like terms: x2 + -1x2 = 0 -16 + i2 + -8x + -1x2 + y = 0 + -1y + y -16 + i2 + -8x + -1x2 + y = -1y + y Combine like terms: -1y + y = 0 -16 + i2 + -8x + -1x2 + y = 0 The solution to this equation could not be determined.
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