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Simplifying (x + 3 + -1i)(x + -3 + i) = 0 Reorder the terms: (3 + -1i + x)(x + -3 + i) = 0 Reorder the terms: (3 + -1i + x)(-3 + i + x) = 0 Multiply (3 + -1i + x) * (-3 + i + x) (3(-3 + i + x) + -1i * (-3 + i + x) + x(-3 + i + x)) = 0 ((-3 * 3 + i * 3 + x * 3) + -1i * (-3 + i + x) + x(-3 + i + x)) = 0 ((-9 + 3i + 3x) + -1i * (-3 + i + x) + x(-3 + i + x)) = 0 (-9 + 3i + 3x + (-3 * -1i + i * -1i + x * -1i) + x(-3 + i + x)) = 0 Reorder the terms: (-9 + 3i + 3x + (3i + -1ix + -1i2) + x(-3 + i + x)) = 0 (-9 + 3i + 3x + (3i + -1ix + -1i2) + x(-3 + i + x)) = 0 (-9 + 3i + 3x + 3i + -1ix + -1i2 + (-3 * x + i * x + x * x)) = 0 Reorder the terms: (-9 + 3i + 3x + 3i + -1ix + -1i2 + (ix + -3x + x2)) = 0 (-9 + 3i + 3x + 3i + -1ix + -1i2 + (ix + -3x + x2)) = 0 Reorder the terms: (-9 + 3i + 3i + -1ix + ix + -1i2 + 3x + -3x + x2) = 0 Combine like terms: 3i + 3i = 6i (-9 + 6i + -1ix + ix + -1i2 + 3x + -3x + x2) = 0 Combine like terms: -1ix + ix = 0 (-9 + 6i + 0 + -1i2 + 3x + -3x + x2) = 0 (-9 + 6i + -1i2 + 3x + -3x + x2) = 0 Combine like terms: 3x + -3x = 0 (-9 + 6i + -1i2 + 0 + x2) = 0 (-9 + 6i + -1i2 + x2) = 0 Solving -9 + 6i + -1i2 + x2 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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