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Simplifying (5 + 4i)(3 + 7i)(2 + -3i) = 0 Multiply (5 + 4i) * (3 + 7i) (5(3 + 7i) + 4i * (3 + 7i))(2 + -3i) = 0 ((3 * 5 + 7i * 5) + 4i * (3 + 7i))(2 + -3i) = 0 ((15 + 35i) + 4i * (3 + 7i))(2 + -3i) = 0 (15 + 35i + (3 * 4i + 7i * 4i))(2 + -3i) = 0 (15 + 35i + (12i + 28i2))(2 + -3i) = 0 Combine like terms: 35i + 12i = 47i (15 + 47i + 28i2)(2 + -3i) = 0 Multiply (15 + 47i + 28i2) * (2 + -3i) (15(2 + -3i) + 47i * (2 + -3i) + 28i2 * (2 + -3i)) = 0 ((2 * 15 + -3i * 15) + 47i * (2 + -3i) + 28i2 * (2 + -3i)) = 0 ((30 + -45i) + 47i * (2 + -3i) + 28i2 * (2 + -3i)) = 0 (30 + -45i + (2 * 47i + -3i * 47i) + 28i2 * (2 + -3i)) = 0 (30 + -45i + (94i + -141i2) + 28i2 * (2 + -3i)) = 0 (30 + -45i + 94i + -141i2 + (2 * 28i2 + -3i * 28i2)) = 0 (30 + -45i + 94i + -141i2 + (56i2 + -84i3)) = 0 Combine like terms: -45i + 94i = 49i (30 + 49i + -141i2 + 56i2 + -84i3) = 0 Combine like terms: -141i2 + 56i2 = -85i2 (30 + 49i + -85i2 + -84i3) = 0 Solving 30 + 49i + -85i2 + -84i3 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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