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Simplifying (1 + -2i)(3 + 7i)(1 + 2i) = 0 Multiply (1 + -2i) * (3 + 7i) (1(3 + 7i) + -2i * (3 + 7i))(1 + 2i) = 0 ((3 * 1 + 7i * 1) + -2i * (3 + 7i))(1 + 2i) = 0 ((3 + 7i) + -2i * (3 + 7i))(1 + 2i) = 0 (3 + 7i + (3 * -2i + 7i * -2i))(1 + 2i) = 0 (3 + 7i + (-6i + -14i2))(1 + 2i) = 0 Combine like terms: 7i + -6i = 1i (3 + 1i + -14i2)(1 + 2i) = 0 Multiply (3 + 1i + -14i2) * (1 + 2i) (3(1 + 2i) + 1i * (1 + 2i) + -14i2 * (1 + 2i)) = 0 ((1 * 3 + 2i * 3) + 1i * (1 + 2i) + -14i2 * (1 + 2i)) = 0 ((3 + 6i) + 1i * (1 + 2i) + -14i2 * (1 + 2i)) = 0 (3 + 6i + (1 * 1i + 2i * 1i) + -14i2 * (1 + 2i)) = 0 (3 + 6i + (1i + 2i2) + -14i2 * (1 + 2i)) = 0 (3 + 6i + 1i + 2i2 + (1 * -14i2 + 2i * -14i2)) = 0 (3 + 6i + 1i + 2i2 + (-14i2 + -28i3)) = 0 Combine like terms: 6i + 1i = 7i (3 + 7i + 2i2 + -14i2 + -28i3) = 0 Combine like terms: 2i2 + -14i2 = -12i2 (3 + 7i + -12i2 + -28i3) = 0 Solving 3 + 7i + -12i2 + -28i3 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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