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Simplifying (1 + i)(2 + 3i)(4 + -3i) = 0 Multiply (1 + i) * (2 + 3i) (1(2 + 3i) + i(2 + 3i))(4 + -3i) = 0 ((2 * 1 + 3i * 1) + i(2 + 3i))(4 + -3i) = 0 ((2 + 3i) + i(2 + 3i))(4 + -3i) = 0 (2 + 3i + (2 * i + 3i * i))(4 + -3i) = 0 (2 + 3i + (2i + 3i2))(4 + -3i) = 0 Combine like terms: 3i + 2i = 5i (2 + 5i + 3i2)(4 + -3i) = 0 Multiply (2 + 5i + 3i2) * (4 + -3i) (2(4 + -3i) + 5i * (4 + -3i) + 3i2 * (4 + -3i)) = 0 ((4 * 2 + -3i * 2) + 5i * (4 + -3i) + 3i2 * (4 + -3i)) = 0 ((8 + -6i) + 5i * (4 + -3i) + 3i2 * (4 + -3i)) = 0 (8 + -6i + (4 * 5i + -3i * 5i) + 3i2 * (4 + -3i)) = 0 (8 + -6i + (20i + -15i2) + 3i2 * (4 + -3i)) = 0 (8 + -6i + 20i + -15i2 + (4 * 3i2 + -3i * 3i2)) = 0 (8 + -6i + 20i + -15i2 + (12i2 + -9i3)) = 0 Combine like terms: -6i + 20i = 14i (8 + 14i + -15i2 + 12i2 + -9i3) = 0 Combine like terms: -15i2 + 12i2 = -3i2 (8 + 14i + -3i2 + -9i3) = 0 Solving 8 + 14i + -3i2 + -9i3 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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