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Simplifying (4 + 3i)(2 + -5i)(4 + -3i) = 0 Multiply (4 + 3i) * (2 + -5i) (4(2 + -5i) + 3i * (2 + -5i))(4 + -3i) = 0 ((2 * 4 + -5i * 4) + 3i * (2 + -5i))(4 + -3i) = 0 ((8 + -20i) + 3i * (2 + -5i))(4 + -3i) = 0 (8 + -20i + (2 * 3i + -5i * 3i))(4 + -3i) = 0 (8 + -20i + (6i + -15i2))(4 + -3i) = 0 Combine like terms: -20i + 6i = -14i (8 + -14i + -15i2)(4 + -3i) = 0 Multiply (8 + -14i + -15i2) * (4 + -3i) (8(4 + -3i) + -14i * (4 + -3i) + -15i2 * (4 + -3i)) = 0 ((4 * 8 + -3i * 8) + -14i * (4 + -3i) + -15i2 * (4 + -3i)) = 0 ((32 + -24i) + -14i * (4 + -3i) + -15i2 * (4 + -3i)) = 0 (32 + -24i + (4 * -14i + -3i * -14i) + -15i2 * (4 + -3i)) = 0 (32 + -24i + (-56i + 42i2) + -15i2 * (4 + -3i)) = 0 (32 + -24i + -56i + 42i2 + (4 * -15i2 + -3i * -15i2)) = 0 (32 + -24i + -56i + 42i2 + (-60i2 + 45i3)) = 0 Combine like terms: -24i + -56i = -80i (32 + -80i + 42i2 + -60i2 + 45i3) = 0 Combine like terms: 42i2 + -60i2 = -18i2 (32 + -80i + -18i2 + 45i3) = 0 Solving 32 + -80i + -18i2 + 45i3 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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