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Simplifying (3 + -1i)(3 + 2i)(1 + -5i) = 0 Multiply (3 + -1i) * (3 + 2i) (3(3 + 2i) + -1i * (3 + 2i))(1 + -5i) = 0 ((3 * 3 + 2i * 3) + -1i * (3 + 2i))(1 + -5i) = 0 ((9 + 6i) + -1i * (3 + 2i))(1 + -5i) = 0 (9 + 6i + (3 * -1i + 2i * -1i))(1 + -5i) = 0 (9 + 6i + (-3i + -2i2))(1 + -5i) = 0 Combine like terms: 6i + -3i = 3i (9 + 3i + -2i2)(1 + -5i) = 0 Multiply (9 + 3i + -2i2) * (1 + -5i) (9(1 + -5i) + 3i * (1 + -5i) + -2i2 * (1 + -5i)) = 0 ((1 * 9 + -5i * 9) + 3i * (1 + -5i) + -2i2 * (1 + -5i)) = 0 ((9 + -45i) + 3i * (1 + -5i) + -2i2 * (1 + -5i)) = 0 (9 + -45i + (1 * 3i + -5i * 3i) + -2i2 * (1 + -5i)) = 0 (9 + -45i + (3i + -15i2) + -2i2 * (1 + -5i)) = 0 (9 + -45i + 3i + -15i2 + (1 * -2i2 + -5i * -2i2)) = 0 (9 + -45i + 3i + -15i2 + (-2i2 + 10i3)) = 0 Combine like terms: -45i + 3i = -42i (9 + -42i + -15i2 + -2i2 + 10i3) = 0 Combine like terms: -15i2 + -2i2 = -17i2 (9 + -42i + -17i2 + 10i3) = 0 Solving 9 + -42i + -17i2 + 10i3 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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