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Simplifying (x + 3i)(x + -3i)(x + -9) = 0 Reorder the terms: (3i + x)(x + -3i)(x + -9) = 0 Reorder the terms: (3i + x)(-3i + x)(x + -9) = 0 Reorder the terms: (3i + x)(-3i + x)(-9 + x) = 0 Multiply (3i + x) * (-3i + x) (3i * (-3i + x) + x(-3i + x))(-9 + x) = 0 ((-3i * 3i + x * 3i) + x(-3i + x))(-9 + x) = 0 Reorder the terms: ((3ix + -9i2) + x(-3i + x))(-9 + x) = 0 ((3ix + -9i2) + x(-3i + x))(-9 + x) = 0 (3ix + -9i2 + (-3i * x + x * x))(-9 + x) = 0 (3ix + -9i2 + (-3ix + x2))(-9 + x) = 0 Reorder the terms: (3ix + -3ix + -9i2 + x2)(-9 + x) = 0 Combine like terms: 3ix + -3ix = 0 (0 + -9i2 + x2)(-9 + x) = 0 (-9i2 + x2)(-9 + x) = 0 Multiply (-9i2 + x2) * (-9 + x) (-9i2 * (-9 + x) + x2(-9 + x)) = 0 ((-9 * -9i2 + x * -9i2) + x2(-9 + x)) = 0 ((81i2 + -9i2x) + x2(-9 + x)) = 0 (81i2 + -9i2x + (-9 * x2 + x * x2)) = 0 (81i2 + -9i2x + (-9x2 + x3)) = 0 (81i2 + -9i2x + -9x2 + x3) = 0 Solving 81i2 + -9i2x + -9x2 + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9x2' to each side of the equation. 81i2 + -9i2x + -9x2 + 9x2 + x3 = 0 + 9x2 Combine like terms: -9x2 + 9x2 = 0 81i2 + -9i2x + 0 + x3 = 0 + 9x2 81i2 + -9i2x + x3 = 0 + 9x2 Remove the zero: 81i2 + -9i2x + x3 = 9x2 Add '-1x3' to each side of the equation. 81i2 + -9i2x + x3 + -1x3 = 9x2 + -1x3 Combine like terms: x3 + -1x3 = 0 81i2 + -9i2x + 0 = 9x2 + -1x3 81i2 + -9i2x = 9x2 + -1x3 Reorder the terms: 81i2 + -9i2x + -9x2 + x3 = 9x2 + -9x2 + -1x3 + x3 Combine like terms: 9x2 + -9x2 = 0 81i2 + -9i2x + -9x2 + x3 = 0 + -1x3 + x3 81i2 + -9i2x + -9x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 81i2 + -9i2x + -9x2 + x3 = 0 The solution to this equation could not be determined.
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