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Simplifying (1 + -9i)(1 + -4i)(4 + -3i) = 0 Multiply (1 + -9i) * (1 + -4i) (1(1 + -4i) + -9i * (1 + -4i))(4 + -3i) = 0 ((1 * 1 + -4i * 1) + -9i * (1 + -4i))(4 + -3i) = 0 ((1 + -4i) + -9i * (1 + -4i))(4 + -3i) = 0 (1 + -4i + (1 * -9i + -4i * -9i))(4 + -3i) = 0 (1 + -4i + (-9i + 36i2))(4 + -3i) = 0 Combine like terms: -4i + -9i = -13i (1 + -13i + 36i2)(4 + -3i) = 0 Multiply (1 + -13i + 36i2) * (4 + -3i) (1(4 + -3i) + -13i * (4 + -3i) + 36i2 * (4 + -3i)) = 0 ((4 * 1 + -3i * 1) + -13i * (4 + -3i) + 36i2 * (4 + -3i)) = 0 ((4 + -3i) + -13i * (4 + -3i) + 36i2 * (4 + -3i)) = 0 (4 + -3i + (4 * -13i + -3i * -13i) + 36i2 * (4 + -3i)) = 0 (4 + -3i + (-52i + 39i2) + 36i2 * (4 + -3i)) = 0 (4 + -3i + -52i + 39i2 + (4 * 36i2 + -3i * 36i2)) = 0 (4 + -3i + -52i + 39i2 + (144i2 + -108i3)) = 0 Combine like terms: -3i + -52i = -55i (4 + -55i + 39i2 + 144i2 + -108i3) = 0 Combine like terms: 39i2 + 144i2 = 183i2 (4 + -55i + 183i2 + -108i3) = 0 Solving 4 + -55i + 183i2 + -108i3 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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