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Simplifying (x + -1(6 + -1i))(x + -1(6 + i)) = 0 (x + (6 * -1 + -1i * -1))(x + -1(6 + i)) = 0 (x + (-6 + 1i))(x + -1(6 + i)) = 0 Reorder the terms: (-6 + 1i + x)(x + -1(6 + i)) = 0 (-6 + 1i + x)(x + (6 * -1 + i * -1)) = 0 (-6 + 1i + x)(x + (-6 + -1i)) = 0 Reorder the terms: (-6 + 1i + x)(-6 + -1i + x) = 0 Multiply (-6 + 1i + x) * (-6 + -1i + x) (-6(-6 + -1i + x) + 1i * (-6 + -1i + x) + x(-6 + -1i + x)) = 0 ((-6 * -6 + -1i * -6 + x * -6) + 1i * (-6 + -1i + x) + x(-6 + -1i + x)) = 0 ((36 + 6i + -6x) + 1i * (-6 + -1i + x) + x(-6 + -1i + x)) = 0 (36 + 6i + -6x + (-6 * 1i + -1i * 1i + x * 1i) + x(-6 + -1i + x)) = 0 Reorder the terms: (36 + 6i + -6x + (-6i + 1ix + -1i2) + x(-6 + -1i + x)) = 0 (36 + 6i + -6x + (-6i + 1ix + -1i2) + x(-6 + -1i + x)) = 0 (36 + 6i + -6x + -6i + 1ix + -1i2 + (-6 * x + -1i * x + x * x)) = 0 Reorder the terms: (36 + 6i + -6x + -6i + 1ix + -1i2 + (-1ix + -6x + x2)) = 0 (36 + 6i + -6x + -6i + 1ix + -1i2 + (-1ix + -6x + x2)) = 0 Reorder the terms: (36 + 6i + -6i + 1ix + -1ix + -1i2 + -6x + -6x + x2) = 0 Combine like terms: 6i + -6i = 0 (36 + 0 + 1ix + -1ix + -1i2 + -6x + -6x + x2) = 0 (36 + 1ix + -1ix + -1i2 + -6x + -6x + x2) = 0 Combine like terms: 1ix + -1ix = 0 (36 + 0 + -1i2 + -6x + -6x + x2) = 0 (36 + -1i2 + -6x + -6x + x2) = 0 Combine like terms: -6x + -6x = -12x (36 + -1i2 + -12x + x2) = 0 Solving 36 + -1i2 + -12x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -1i2 + -12x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -1i2 + -12x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1i2 + -12x + x2 = 0 + -36 -1i2 + -12x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -1i2 + -12x + x2 = -36 Add '12x' to each side of the equation. -1i2 + -12x + 12x + x2 = -36 + 12x Combine like terms: -12x + 12x = 0 -1i2 + 0 + x2 = -36 + 12x -1i2 + x2 = -36 + 12x Add '-1x2' to each side of the equation. -1i2 + x2 + -1x2 = -36 + 12x + -1x2 Combine like terms: x2 + -1x2 = 0 -1i2 + 0 = -36 + 12x + -1x2 -1i2 = -36 + 12x + -1x2 Divide each side by '-1'. i2 = 36 + -12x + x2 Simplifying i2 = 36 + -12x + x2 Reorder the terms: -36 + i2 + 12x + -1x2 = 36 + -12x + x2 + -36 + 12x + -1x2 Reorder the terms: -36 + i2 + 12x + -1x2 = 36 + -36 + -12x + 12x + x2 + -1x2 Combine like terms: 36 + -36 = 0 -36 + i2 + 12x + -1x2 = 0 + -12x + 12x + x2 + -1x2 -36 + i2 + 12x + -1x2 = -12x + 12x + x2 + -1x2 Combine like terms: -12x + 12x = 0 -36 + i2 + 12x + -1x2 = 0 + x2 + -1x2 -36 + i2 + 12x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -36 + i2 + 12x + -1x2 = 0 The solution to this equation could not be determined.
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