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Simplifying (2x + -3)(x + -4)(x + 3) = 108 + -27x + -36x2 + x3 + 2x4 Reorder the terms: (-3 + 2x)(x + -4)(x + 3) = 108 + -27x + -36x2 + x3 + 2x4 Reorder the terms: (-3 + 2x)(-4 + x)(x + 3) = 108 + -27x + -36x2 + x3 + 2x4 Reorder the terms: (-3 + 2x)(-4 + x)(3 + x) = 108 + -27x + -36x2 + x3 + 2x4 Multiply (-3 + 2x) * (-4 + x) (-3(-4 + x) + 2x * (-4 + x))(3 + x) = 108 + -27x + -36x2 + x3 + 2x4 ((-4 * -3 + x * -3) + 2x * (-4 + x))(3 + x) = 108 + -27x + -36x2 + x3 + 2x4 ((12 + -3x) + 2x * (-4 + x))(3 + x) = 108 + -27x + -36x2 + x3 + 2x4 (12 + -3x + (-4 * 2x + x * 2x))(3 + x) = 108 + -27x + -36x2 + x3 + 2x4 (12 + -3x + (-8x + 2x2))(3 + x) = 108 + -27x + -36x2 + x3 + 2x4 Combine like terms: -3x + -8x = -11x (12 + -11x + 2x2)(3 + x) = 108 + -27x + -36x2 + x3 + 2x4 Multiply (12 + -11x + 2x2) * (3 + x) (12(3 + x) + -11x * (3 + x) + 2x2 * (3 + x)) = 108 + -27x + -36x2 + x3 + 2x4 ((3 * 12 + x * 12) + -11x * (3 + x) + 2x2 * (3 + x)) = 108 + -27x + -36x2 + x3 + 2x4 ((36 + 12x) + -11x * (3 + x) + 2x2 * (3 + x)) = 108 + -27x + -36x2 + x3 + 2x4 (36 + 12x + (3 * -11x + x * -11x) + 2x2 * (3 + x)) = 108 + -27x + -36x2 + x3 + 2x4 (36 + 12x + (-33x + -11x2) + 2x2 * (3 + x)) = 108 + -27x + -36x2 + x3 + 2x4 (36 + 12x + -33x + -11x2 + (3 * 2x2 + x * 2x2)) = 108 + -27x + -36x2 + x3 + 2x4 (36 + 12x + -33x + -11x2 + (6x2 + 2x3)) = 108 + -27x + -36x2 + x3 + 2x4 Combine like terms: 12x + -33x = -21x (36 + -21x + -11x2 + 6x2 + 2x3) = 108 + -27x + -36x2 + x3 + 2x4 Combine like terms: -11x2 + 6x2 = -5x2 (36 + -21x + -5x2 + 2x3) = 108 + -27x + -36x2 + x3 + 2x4 Solving 36 + -21x + -5x2 + 2x3 = 108 + -27x + -36x2 + x3 + 2x4 Solving for variable 'x'. Reorder the terms: 36 + -108 + -21x + 27x + -5x2 + 36x2 + 2x3 + -1x3 + -2x4 = 108 + -27x + -36x2 + x3 + 2x4 + -108 + 27x + 36x2 + -1x3 + -2x4 Combine like terms: 36 + -108 = -72 -72 + -21x + 27x + -5x2 + 36x2 + 2x3 + -1x3 + -2x4 = 108 + -27x + -36x2 + x3 + 2x4 + -108 + 27x + 36x2 + -1x3 + -2x4 Combine like terms: -21x + 27x = 6x -72 + 6x + -5x2 + 36x2 + 2x3 + -1x3 + -2x4 = 108 + -27x + -36x2 + x3 + 2x4 + -108 + 27x + 36x2 + -1x3 + -2x4 Combine like terms: -5x2 + 36x2 = 31x2 -72 + 6x + 31x2 + 2x3 + -1x3 + -2x4 = 108 + -27x + -36x2 + x3 + 2x4 + -108 + 27x + 36x2 + -1x3 + -2x4 Combine like terms: 2x3 + -1x3 = 1x3 -72 + 6x + 31x2 + 1x3 + -2x4 = 108 + -27x + -36x2 + x3 + 2x4 + -108 + 27x + 36x2 + -1x3 + -2x4 Reorder the terms: -72 + 6x + 31x2 + 1x3 + -2x4 = 108 + -108 + -27x + 27x + -36x2 + 36x2 + x3 + -1x3 + 2x4 + -2x4 Combine like terms: 108 + -108 = 0 -72 + 6x + 31x2 + 1x3 + -2x4 = 0 + -27x + 27x + -36x2 + 36x2 + x3 + -1x3 + 2x4 + -2x4 -72 + 6x + 31x2 + 1x3 + -2x4 = -27x + 27x + -36x2 + 36x2 + x3 + -1x3 + 2x4 + -2x4 Combine like terms: -27x + 27x = 0 -72 + 6x + 31x2 + 1x3 + -2x4 = 0 + -36x2 + 36x2 + x3 + -1x3 + 2x4 + -2x4 -72 + 6x + 31x2 + 1x3 + -2x4 = -36x2 + 36x2 + x3 + -1x3 + 2x4 + -2x4 Combine like terms: -36x2 + 36x2 = 0 -72 + 6x + 31x2 + 1x3 + -2x4 = 0 + x3 + -1x3 + 2x4 + -2x4 -72 + 6x + 31x2 + 1x3 + -2x4 = x3 + -1x3 + 2x4 + -2x4 Combine like terms: x3 + -1x3 = 0 -72 + 6x + 31x2 + 1x3 + -2x4 = 0 + 2x4 + -2x4 -72 + 6x + 31x2 + 1x3 + -2x4 = 2x4 + -2x4 Combine like terms: 2x4 + -2x4 = 0 -72 + 6x + 31x2 + 1x3 + -2x4 = 0 The solution to this equation could not be determined.
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