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Simplifying (x + -4 + 5i)(x + 9 + -1i) = 0 Reorder the terms: (-4 + 5i + x)(x + 9 + -1i) = 0 Reorder the terms: (-4 + 5i + x)(9 + -1i + x) = 0 Multiply (-4 + 5i + x) * (9 + -1i + x) (-4(9 + -1i + x) + 5i * (9 + -1i + x) + x(9 + -1i + x)) = 0 ((9 * -4 + -1i * -4 + x * -4) + 5i * (9 + -1i + x) + x(9 + -1i + x)) = 0 ((-36 + 4i + -4x) + 5i * (9 + -1i + x) + x(9 + -1i + x)) = 0 (-36 + 4i + -4x + (9 * 5i + -1i * 5i + x * 5i) + x(9 + -1i + x)) = 0 Reorder the terms: (-36 + 4i + -4x + (45i + 5ix + -5i2) + x(9 + -1i + x)) = 0 (-36 + 4i + -4x + (45i + 5ix + -5i2) + x(9 + -1i + x)) = 0 (-36 + 4i + -4x + 45i + 5ix + -5i2 + (9 * x + -1i * x + x * x)) = 0 Reorder the terms: (-36 + 4i + -4x + 45i + 5ix + -5i2 + (-1ix + 9x + x2)) = 0 (-36 + 4i + -4x + 45i + 5ix + -5i2 + (-1ix + 9x + x2)) = 0 Reorder the terms: (-36 + 4i + 45i + 5ix + -1ix + -5i2 + -4x + 9x + x2) = 0 Combine like terms: 4i + 45i = 49i (-36 + 49i + 5ix + -1ix + -5i2 + -4x + 9x + x2) = 0 Combine like terms: 5ix + -1ix = 4ix (-36 + 49i + 4ix + -5i2 + -4x + 9x + x2) = 0 Combine like terms: -4x + 9x = 5x (-36 + 49i + 4ix + -5i2 + 5x + x2) = 0 Solving -36 + 49i + 4ix + -5i2 + 5x + x2 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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