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Simplifying (x + -3 + -3i)(x + -3 + 3i) = 0 Reorder the terms: (-3 + -3i + x)(x + -3 + 3i) = 0 Reorder the terms: (-3 + -3i + x)(-3 + 3i + x) = 0 Multiply (-3 + -3i + x) * (-3 + 3i + x) (-3(-3 + 3i + x) + -3i * (-3 + 3i + x) + x(-3 + 3i + x)) = 0 ((-3 * -3 + 3i * -3 + x * -3) + -3i * (-3 + 3i + x) + x(-3 + 3i + x)) = 0 ((9 + -9i + -3x) + -3i * (-3 + 3i + x) + x(-3 + 3i + x)) = 0 (9 + -9i + -3x + (-3 * -3i + 3i * -3i + x * -3i) + x(-3 + 3i + x)) = 0 Reorder the terms: (9 + -9i + -3x + (9i + -3ix + -9i2) + x(-3 + 3i + x)) = 0 (9 + -9i + -3x + (9i + -3ix + -9i2) + x(-3 + 3i + x)) = 0 (9 + -9i + -3x + 9i + -3ix + -9i2 + (-3 * x + 3i * x + x * x)) = 0 Reorder the terms: (9 + -9i + -3x + 9i + -3ix + -9i2 + (3ix + -3x + x2)) = 0 (9 + -9i + -3x + 9i + -3ix + -9i2 + (3ix + -3x + x2)) = 0 Reorder the terms: (9 + -9i + 9i + -3ix + 3ix + -9i2 + -3x + -3x + x2) = 0 Combine like terms: -9i + 9i = 0 (9 + 0 + -3ix + 3ix + -9i2 + -3x + -3x + x2) = 0 (9 + -3ix + 3ix + -9i2 + -3x + -3x + x2) = 0 Combine like terms: -3ix + 3ix = 0 (9 + 0 + -9i2 + -3x + -3x + x2) = 0 (9 + -9i2 + -3x + -3x + x2) = 0 Combine like terms: -3x + -3x = -6x (9 + -9i2 + -6x + x2) = 0 Solving 9 + -9i2 + -6x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9i2 + -6x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -9i2 + -6x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -9i2 + -6x + x2 = 0 + -9 -9i2 + -6x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -9i2 + -6x + x2 = -9 Add '6x' to each side of the equation. -9i2 + -6x + 6x + x2 = -9 + 6x Combine like terms: -6x + 6x = 0 -9i2 + 0 + x2 = -9 + 6x -9i2 + x2 = -9 + 6x Add '-1x2' to each side of the equation. -9i2 + x2 + -1x2 = -9 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 -9i2 + 0 = -9 + 6x + -1x2 -9i2 = -9 + 6x + -1x2 Divide each side by '-9'. i2 = 1 + -0.6666666667x + 0.1111111111x2 Simplifying i2 = 1 + -0.6666666667x + 0.1111111111x2 Reorder the terms: -1 + i2 + 0.6666666667x + -0.1111111111x2 = 1 + -0.6666666667x + 0.1111111111x2 + -1 + 0.6666666667x + -0.1111111111x2 Reorder the terms: -1 + i2 + 0.6666666667x + -0.1111111111x2 = 1 + -1 + -0.6666666667x + 0.6666666667x + 0.1111111111x2 + -0.1111111111x2 Combine like terms: 1 + -1 = 0 -1 + i2 + 0.6666666667x + -0.1111111111x2 = 0 + -0.6666666667x + 0.6666666667x + 0.1111111111x2 + -0.1111111111x2 -1 + i2 + 0.6666666667x + -0.1111111111x2 = -0.6666666667x + 0.6666666667x + 0.1111111111x2 + -0.1111111111x2 Combine like terms: -0.6666666667x + 0.6666666667x = 0.0000000000 -1 + i2 + 0.6666666667x + -0.1111111111x2 = 0.0000000000 + 0.1111111111x2 + -0.1111111111x2 -1 + i2 + 0.6666666667x + -0.1111111111x2 = 0.1111111111x2 + -0.1111111111x2 Combine like terms: 0.1111111111x2 + -0.1111111111x2 = 0.0000000000 -1 + i2 + 0.6666666667x + -0.1111111111x2 = 0.0000000000 The solution to this equation could not be determined.
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