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Simplifying (x + 1)(4 + -3i)(4 + 3i) = 0 Reorder the terms: (1 + x)(4 + -3i)(4 + 3i) = 0 Multiply (1 + x) * (4 + -3i) (1(4 + -3i) + x(4 + -3i))(4 + 3i) = 0 ((4 * 1 + -3i * 1) + x(4 + -3i))(4 + 3i) = 0 ((4 + -3i) + x(4 + -3i))(4 + 3i) = 0 (4 + -3i + (4 * x + -3i * x))(4 + 3i) = 0 Reorder the terms: (4 + -3i + (-3ix + 4x))(4 + 3i) = 0 (4 + -3i + (-3ix + 4x))(4 + 3i) = 0 (4 + -3i + -3ix + 4x)(4 + 3i) = 0 Multiply (4 + -3i + -3ix + 4x) * (4 + 3i) (4(4 + 3i) + -3i * (4 + 3i) + -3ix * (4 + 3i) + 4x * (4 + 3i)) = 0 ((4 * 4 + 3i * 4) + -3i * (4 + 3i) + -3ix * (4 + 3i) + 4x * (4 + 3i)) = 0 ((16 + 12i) + -3i * (4 + 3i) + -3ix * (4 + 3i) + 4x * (4 + 3i)) = 0 (16 + 12i + (4 * -3i + 3i * -3i) + -3ix * (4 + 3i) + 4x * (4 + 3i)) = 0 (16 + 12i + (-12i + -9i2) + -3ix * (4 + 3i) + 4x * (4 + 3i)) = 0 (16 + 12i + -12i + -9i2 + (4 * -3ix + 3i * -3ix) + 4x * (4 + 3i)) = 0 (16 + 12i + -12i + -9i2 + (-12ix + -9i2x) + 4x * (4 + 3i)) = 0 (16 + 12i + -12i + -9i2 + -12ix + -9i2x + (4 * 4x + 3i * 4x)) = 0 Reorder the terms: (16 + 12i + -12i + -9i2 + -12ix + -9i2x + (12ix + 16x)) = 0 (16 + 12i + -12i + -9i2 + -12ix + -9i2x + (12ix + 16x)) = 0 Reorder the terms: (16 + 12i + -12i + -12ix + 12ix + -9i2 + -9i2x + 16x) = 0 Combine like terms: 12i + -12i = 0 (16 + 0 + -12ix + 12ix + -9i2 + -9i2x + 16x) = 0 (16 + -12ix + 12ix + -9i2 + -9i2x + 16x) = 0 Combine like terms: -12ix + 12ix = 0 (16 + 0 + -9i2 + -9i2x + 16x) = 0 (16 + -9i2 + -9i2x + 16x) = 0 Solving 16 + -9i2 + -9i2x + 16x = 0 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 + -9i2 + -9i2x + -16 + 16x = 0 + -16 Reorder the terms: 16 + -16 + -9i2 + -9i2x + 16x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -9i2 + -9i2x + 16x = 0 + -16 -9i2 + -9i2x + 16x = 0 + -16 Combine like terms: 0 + -16 = -16 -9i2 + -9i2x + 16x = -16 Add '-16x' to each side of the equation. -9i2 + -9i2x + 16x + -16x = -16 + -16x Combine like terms: 16x + -16x = 0 -9i2 + -9i2x + 0 = -16 + -16x -9i2 + -9i2x = -16 + -16x Reorder the terms: 16 + -9i2 + -9i2x + 16x = -16 + -16x + 16 + 16x Reorder the terms: 16 + -9i2 + -9i2x + 16x = -16 + 16 + -16x + 16x Combine like terms: -16 + 16 = 0 16 + -9i2 + -9i2x + 16x = 0 + -16x + 16x 16 + -9i2 + -9i2x + 16x = -16x + 16x Combine like terms: -16x + 16x = 0 16 + -9i2 + -9i2x + 16x = 0 The solution to this equation could not be determined.
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