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Simplifying (2 + -1i)(5 + i)(6 + -1i) = 0 Multiply (2 + -1i) * (5 + i) (2(5 + i) + -1i * (5 + i))(6 + -1i) = 0 ((5 * 2 + i * 2) + -1i * (5 + i))(6 + -1i) = 0 ((10 + 2i) + -1i * (5 + i))(6 + -1i) = 0 (10 + 2i + (5 * -1i + i * -1i))(6 + -1i) = 0 (10 + 2i + (-5i + -1i2))(6 + -1i) = 0 Combine like terms: 2i + -5i = -3i (10 + -3i + -1i2)(6 + -1i) = 0 Multiply (10 + -3i + -1i2) * (6 + -1i) (10(6 + -1i) + -3i * (6 + -1i) + -1i2 * (6 + -1i)) = 0 ((6 * 10 + -1i * 10) + -3i * (6 + -1i) + -1i2 * (6 + -1i)) = 0 ((60 + -10i) + -3i * (6 + -1i) + -1i2 * (6 + -1i)) = 0 (60 + -10i + (6 * -3i + -1i * -3i) + -1i2 * (6 + -1i)) = 0 (60 + -10i + (-18i + 3i2) + -1i2 * (6 + -1i)) = 0 (60 + -10i + -18i + 3i2 + (6 * -1i2 + -1i * -1i2)) = 0 (60 + -10i + -18i + 3i2 + (-6i2 + 1i3)) = 0 Combine like terms: -10i + -18i = -28i (60 + -28i + 3i2 + -6i2 + 1i3) = 0 Combine like terms: 3i2 + -6i2 = -3i2 (60 + -28i + -3i2 + 1i3) = 0 Solving 60 + -28i + -3i2 + 1i3 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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